Categories

## CAN YOU PLEASE HELP ME WITH THIS PROBLEM? This is due by MIDNIGHT 2). Manufacturer A produces hammers that are normally distributed with a mean weight of 4.6 lb and a standard deviation of 0.8 lb. Manufacturer B produces hammers that are normally distributed with a mean weight of 6.3 lb and a standard deviation of 1.4 lb. (a) What percentage of Manufacturer A’s hammers will weigh less than 5 lb? (b) What percentage of Manufacturer B’s hammers will weigh less than 5 lb? (c) Which manufacturer is more likely to produce a hammer weighing exactly 5.2 lb? Explain.

Part (a)
Manufacturer A;
Mean, μ = 4.6
Std. deviation, σ = 0.8

For the random variable x = 5, the z-score is
z = (x – μ)/σ = (5 – 4.6)/0.8 = 0.5
From standard tables,
P(x<5) = P(z<0.5) = 0.69 = 69%

69% will weigh less than 5 lb.

Part b)
Manufacturer B
μ = 6.3
σ = 1.4

For x = 5, z = (5 – 6.3)/1.4 = -0.9286
From standard tables,
P(x<5) = P(z<-0.9286) = 0.1766 = 17.7%

About 18% will weigh less than 5 lb.

Part (c)
x = 5.2 lb

Manufacturer A:
z = (5.2-4.6)/0.8 =  0.75
From tables,
P(x=5.2) = 0.773 = 77.3%

Manufacturer B:
z = (5.2-6.3)/1.4 = -0.7857
P(x=5.2) = 0.216 = 21.6%

Manufacturer A is more likely to produce a 5.2 lb hammer because its probability is higher.

Categories

## A bicycle and a tricycle manufacturer makes bikes and trikes with the same size of wheels. They received a shipment of 100 wheels and they must use them all. How many bikes and trikes can they make?

2 trikes (6 wheels) and 47 bikes (94 wheels)
or
4 trikes (12 wheels) and 44 bikes (88 wheels)
or
6 trikes (18 wheels) and 41 bikes (82 wheels)
or
8 trikes (24 wheels) and 38 bikes (76 wheels)
or
10 trikes (30 wheels) and 35 bikes (70 wheels)

As long as you start our with an even number of trikes, you’ll find a way to use up all the tires with no remainders.

Categories

## A manufacturer determines that the number of drills it can sell is given by the formula D=-4p^2+160p-270, where p is the price of the drills in dollars. a. At what price will the manufacturer sell the maximum number of drills? b. What is the maximum number of drills that can be sold?

That is the vertex
if we complete the square
to get y=a(x-h)^2+k form wher (h,k) Is vertex
D=-4(p²-40p)-270
D=-4(p²-40p+400-400)-270
D=-4((p-20)²-400)-270
D=-4(p-20)²+1600-270
D=-4(p-20)²+1330
vertex is (20,1330)
that is at p=20 and D=1330

A. at the price of 20 units
b. can sell 1330 drills

or you can use the calc way
take deritivive to find where the slope equals 0

D'(x)=-8x+160
0=-8x+160
8x=160
x=20

we know this is the max because D'(15) is positive and D'(25) is negative so therefor at x=20, that is the max
to find the max number of drills, we do
D(20)=-4(20)²+160(20)-270
D(20)=1330

a. 20
b. 1330

Categories

## ?bobs assembly is a hardware manufacturer. it specializes in builders hardware for doors, cabinets, windows, and bathrooms. bobs assembly products are cheaper and 95% more durable than its competitors products. this scenario is an example of _____ as bobs assembly performs better than its competitors.

### Answered by answersmine AT 22/10/2019 – 04:43 AM

The answer in the space provided is the distinctive competency. It is a way of having a business in which the quality that an individual promote is unique or in a way that is different towards other competitors. It allows the individual’s organization to be able to have more advantages than of his or her competitors. It could be seen above as Bob has cheaper and more durable than to his other competitors which are different and more unique and he performs better than of the others, in a way that he would gain more advantages than them.

Categories

## You are a marketing director for a large food manufacturer. lately, you have noticed that you are spending a great deal more time at work, sometimes 14 hours a day, because your best friend, who is head of product development, continues to ask you to serve on taste test panels for new products. which type(s) of conflict are you experiencing

The Contribution Margin per unit (CM) can be calculated
from the difference of Selling Price per unit (SP) and Total Expenses per unit
(TE).

First, let’s calculate the value of SP:

SP = Sales / Units sold

SP = \$1,043,400 / 22,200 units sold

SP = \$47

Second, calculate all expenses:

Direct materials per unit = \$234,948 / 27,970 units
manufactured = \$8.4

Direct labor per unit = \$131,459 / 27,970 units
manufactured = \$4.7

Variable manufacturing overhead per unit = \$240,542 / 27,970
units manufactured = \$8.6

Variable selling expenses per unit = \$113,220 / 22,200
units sold = \$5.1

TE = \$26.8

Therefore the CM is:

CM = SP – TE

CM = \$47 – \$26.8

CM = \$20.2 per unit

Categories

## Optimization problem:A manufacturer determines that x employees on a certain production line will produce y units per month where . To obtain the maximum monthly production, how many employees should be assigned to the production line?**It is NOT sufficient to find an answer that you think is a max or a min without testing for relative extrema. You MUST test relative extrema at all times by using either the first or second derivative test even if you only have one critical value/point.

Cal problem!

given production
P(x)=75x^2-0.2x^4

To find relative extrema, we need to find P'(x) and solve for P'(x)=0.

P'(x)=150x-0.8x^3    [by the power rule]

Setting P'(x)=0 and solve for extrema.
150x-0.8x^3=0  =>
x(150-0.8x^2)=0 =>
0.8x(187.5-x^2)=0
0.8x(5sqrt(15/2)-x)(5sqrt(15/2)+x)=0
=>
x={0,+5sqrt(15/2), -5sqrt(15/2)}   by the zero product rule.
[note: eqation P'(x)=0 can also be solved by the quadratic formula]

Reject negative root because we cannot hire negative persons.

So possible extrema are x={0,5sqrt(15/2)}

To find out which are relative maxima, we use the second derivative test.  Calculate P”(x), again by the power rule,
P”(x)=-1.6x
For a relative maximum, P”(x)<0, so
P”(0)=0  which is not <0  [in fact, it is an inflection point]
P”(5sqrt(15/2))=-8sqrt(15/2) < 0, therefore x=5sqrt(15/2) is a relative maximum.

However, 5sqrt(15/2)=13.693 persons, which is impossible, so we hire either 13 or 14, but which one?

Let’s go back to P(x) and find that
P(13)=6962.8
P(14)=7016.8

So we say that assigning 14 employees will give a maximum output.

Categories

## A regulation soccer goal net is 24 ft wide by 8 ft high. A soccer net for children is 6 ft wide. If the manufacturer wishes to keep the children’s soccer net to scale, how tall should the children’s net be? What is the scale factor? (round answer to two decimal places)

You need to determine the number of ways in which 30 competitors from 50 can qualify. First, you have to realize that the order is irrelevant, that is: it is the same competitor_1, competitor _2, competitor _3 than competitor_3, competitor_2, competitor_1, or any combination of those three competitors.

So, the number of ways is which 30 competitors from 50 can qualify is given by the formula of combinations, which is:

C (m,n) = m! / (n! * (m -n)! )

=> C (50,30) = 50! / (30! (50 – 30)! ) = (50!) / [30! (50 – 30)!] = 50! / [30! 20!] =

= 47,129,212,243,960 different ways the qualifiying round of 30 competitors can be selected from the 50 competitors.

Categories

## A company is interested in buying a new machine to replace their outdated equipment. However, before committing to the purchase, the company asked the manufacturer to provide data on a certain machine’s efficiency. The data suggests that with a supplied energy at a rate of 1600 w, the machine will do useful work at a rate of 1540 w. What’s the efficiency of this particular machine

1) Water has very high specific heat.

2) It expands when it freezes

3) ability to dissolve in ionic substances

4) Water molecules at the surface experience fewer hydrogen bonds than water molecules within the liquid.

Explanation:

1) Water molecules due to their high specific heat , undergo relatively less increase in temperature after absorbing heat. So they prevent their adjoining area to experience sharp increase in temperature.

2) Water is an example which expands on freezing. In it , large spaces are left between molecules when it cools. It happens because hydrogen bonds prevent any two molecules to come very close thereby  creating gaps. This gap is filled up when ice melts , which results in overall reduction in volume of water.

3) Uneven distribution of charge results in water molecules becoming polar in nature . A polar substance  can be dissolved in polar solvents only.

4) It is due to property of surface tension. Property  of surface tension results due to molecules of water near the surface experiencing a  net downward  force due to hydrogen bonds . It is due to fewer hydrogen bonds made by them.

Categories

## A clothing manufacturer uses lasers to cut patterns in fabric when making T-shirts. Which best describes a benefit of using lasers instead of traditional cutting machines? Laser machinery does not require energy. Laser machinery is safer because its light is weak. Lasers save time by cutting through more layers of fabric. Lasers result in fewer injuries because they quickly become blunt.

1) Water has very high specific heat.

2) It expands when it freezes

3) ability to dissolve in ionic substances

4) Water molecules at the surface experience fewer hydrogen bonds than water molecules within the liquid.

Explanation:

1) Water molecules due to their high specific heat , undergo relatively less increase in temperature after absorbing heat. So they prevent their adjoining area to experience sharp increase in temperature.

2) Water is an example which expands on freezing. In it , large spaces are left between molecules when it cools. It happens because hydrogen bonds prevent any two molecules to come very close thereby  creating gaps. This gap is filled up when ice melts , which results in overall reduction in volume of water.

3) Uneven distribution of charge results in water molecules becoming polar in nature . A polar substance  can be dissolved in polar solvents only.

4) It is due to property of surface tension. Property  of surface tension results due to molecules of water near the surface experiencing a  net downward  force due to hydrogen bonds . It is due to fewer hydrogen bonds made by them.

Categories

## ____ occurred when financiers bought up several producers of the same product, giving the new owners a large share of the total production of goods, enabling them to set market prices, while _____ took that process further by uniting the producers of product inputs with the product manufacturer in a single corporate structure. A. Economies of scale ; Fordism B. Fordism; Economies of scale C. Horizontal integration; vertical integration D. Vertical integration; horizontal integration

At a typical mountaintop removal mining site, a mining company starts by clear-cutting miles of hardwood forest and growth from the top of a mountain, destroying wildlife habitat and nesting sites for native and migratory birds. Next, the company drills hundreds of holes and packs them with powerful explosives to blast through rock and reduce the elevation of the mountain by as much as 800 feetToxic dust is carried towards human populations, causing significant negative health effects. Flooding and erosion often follows when heavy rains wash over the exposed ground.

Huge shovels clear the tailings, often dumping it into adjacent valleys where it buries streams, destroys more habitat, and sometimes contaminates community drinking water with heavy metals and toxic chemicals.

Appalachia is renown for its stream salamander diversity, and these amphibians are particularly hard hit by habitat destruction.

Categories

## Under the current law on nutrition labeling, a food manufacturer must provide nutrition facts label listing:

I did a manual computation to find the number of years it would take to triple the current sales.

625,000 x 3 = 1,875,000

Year                                            Sales

1                                              625,000.00

2       625,000   x   1.12
=      700,000.00

3       700,000   x   1.12
=      784,000.00

4       784,000   x   1.12
=      878,080.00

5       878,080   x   1.12
=      983,449.60

6       983,450   x   1.12
=   1,101,463.55

7    1,101,464   x   1.12
=   1,233,639.18

8    1,233,639   x   1.12
=   1,381,675.88

9    1,381,676   x   1.12
=   1,547,476.99

10  1,547,477   x   1.12
=   1,733,174.22

11  1,733,174   x   1.12
=   1,941,155.13

It would take 10 years for the sales to triple.

Categories

## A manufacturer of antiseptic soap sells its product to hospitals. In this channel of distribution, the final user is an industrial user. TRUE/FALSE

A manufacturer of antiseptic soap sells its product to hospitals. In this channel of distribution, the final user is an industrial user. TRUE/FALSE

Categories

## What were made commercially for the first time in 1874 by arms manufacturer remington?

1- The correct answer is D. The region that contained the most Russian missile sites in Cuba during the Cuban Missile Crisis was Pinar del Rio, as the majority of Russian Missile were located in the northwest coast of the island.

2- The correct answer is D. In Cuba, Soviet tank units were deployed in the ports of Havana and Cienfuegos.

The USSR also used the radioelectronic intelligence center in Lourdes (south of Havana), set up in 1967 and located 250 kilometers from the United States, which allowed the interception of radio data in almost all American territory.

3- The correct answer is A. The Line of Demarcation was established near the 38th Parallel because it divided Korea into two equal halves.

After Japan’s surrender in World War II in 1945, the parallel was established as the boundary between the Soviet (North) and American (South) occupation zones. The parallel divided the Korean peninsula approximately in half. In 1948 the line became the border between the two newly created nations; South Korea and North Korea.

4- The correct answer is B, Central America.

The Good Neighbor Policy was a political initiative created and presented by the Franklin D. Roosevelt’s administration in the framework of the 7th Pan American Conference in December 1933 regarding its relations with Latin America during the 1933- 1945, when the intervention of the United States in the internal affairs of the Latin American countries was appeasing (the United States had openly invaded several countries of the region in the first years of the 20th century, such as Cuba, Mexico, Haiti, Panama, the Dominican Republic or Nicaragua. ).

5- The correct answer is D. Cuba was a serious threat to the United States during the Cold War because its proximity to the American territory made it possible for large-scale missile attacks. Cuba is only 93 miles far away from Florida, so it constituted a great menace during the Cold War.