Question

In this problem, you consider a small computer company

(a) The company estimates that the total cost (in dollars) of manufacturing and shipping x laptops is given by C(x) = 16000 + 200x+ 4x3/2. If the company wishes to minimize the average cost of manufacturing and shipping a laptop, how many laptops should they produce?

(b) Suppose the company plans to sell each laptop for p(x) = 880−x dollars. Determine the company's maximum possible revenue. At what price should the laptops be sold in order to achieve this?

Answer #1

1. In this problem, you consider a small computer company.
(a) The company estimates that the total cost (in dollars) of
manufacturing and shipping x laptops is given by C(x) = 16000 +
200x+ 4x3/2. If the company wishes to minimize the average cost of
manufacturing and shipping a laptop, how many laptops should they
produce?
(b) Suppose the company plans to sell each laptop for p(x) =
880−x dollars. Determine the company's maximum possible revenue. At
what price should...

The marketing research department of a computer company used a
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R(x)=xp=1,296x-0.12x^3 Find all critical numbers of the function,
then use the second-derivative test on each critical number to
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In the assortment of the small computer equipment company
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mice.
The production cost of TSK, which is the best seller for the
company, can be modeled as follows:
C (x) = 0.02x^2 + 80x + 800
a) Find the unit cost function. A(x)
b) Determine the asymptotes of A by calculation.
c) Discuss the monotony properties of the unit cost function at the
interval [0,1) when calculating.
For which number of...

A company that manufactures small canoes has a fixed cost of $
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200 per canoe. (In solving this exercise, let x represent the
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write the revenue function. determine the break even point, type
and ordered pair. what happens when the company produces and sells
the break even number of canoes?

A company has determined that its weekly total cost and total
revenue (in dollars) for a product can be modeled by C(x) = 4000 +
30x R(x) = 300x -0.001x^2, where x is the number of items produced
and sold. If the company can produce a maximum of 100,000 items per
week, what production level will maximize profit?

1. A law firm plans to invest in a small business computer
system. The initial investment is
$35,000. The firm’s tax rate is 40%. The
computer system should provide additional revenue of $25,000 per
year for the next six years. Depreciation in Year 1 is
$7,000 and $11,200 in Year 2. Calculate net after-tax
cash flows from this investment for the first two years
2.The Danforth Tire Company will purchase of a new machine that
would increase the speed of manufacturing and save money. The...

4. A company that makes optical computer input devices has
calculated their revenue and costs as follows for the most recent
fiscal period:
Sales $522 000
Costs:
Fixed Costs $145 000
Variable Costs 208 800
Total Costs 353 800
Net Income $168 200
What is the break-even point in sales dollars?
5. A company that makes environmental measuring devices has
calculated their revenue and costs as follows for the most recent
fiscal period:
Sales $750 000
Costs:
Fixed Costs $200...

3. A small manufacturing firm in Vatuwaqa produces two goods, X
and Y for the domestic market.The selling price of Good X is $54
and Good Y is $52. The manager has estimated the total cost
function to be ?? = 3?^2 + 3?? + 2?^2 − 100. Compute the quantity
of the two goods the firm should produce in order to maximize
profits. Show all working.
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A small sporting goods company is considering investing $2500 in
a project that will produce volleyballs over the next five years.
The company plans to produce and sell 300 volleyballs in the first
year, and expects that volume to grow by 10% each year thereafter.
The unit selling price forecast the company has developed is $21 in
year 1, $22 in year 2, $25 in year 3, $28 in year 4, and $31.50 in
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A company produces two types of solar panels per year: x
thousand of type A and y thousand of type B. The revenue and cost
equations, in millions of dollars, for the year are given as
follows: R(x,y)=6x+4y C(x,y)=x^2-4xy+9y^2+28x-130y-2 Determine how
many of each type of solar panel should be produced per year to
maximize profit. The company will achieve a maximum profit by
selling _ solar panels of type A, and _ solar panels of type B The
maximum...

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