Question

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 laptops be sold in order to achieve this?

2. Use the linear approximation to f(x) = sinπx at a= 3 to estimate the value of sin(3.05π).

Answer #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...

In the assortment of the small computer equipment company
Computer-XY you will find a selection of different computer
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...

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...

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
year 5. Variable costs are forecast...

Formulate but do not solve the following exercise as a linear
programming problem.
Perth Mining Company operates two mines for the purpose of
extracting gold and silver. The Saddle Mine costs $14,000/day to
operate, and it yields 50 oz of gold and 3000 oz of silver each of
x days. The Horseshoe Mine costs $17,000/day to operate,
and it yields 65 oz of gold and 1250 oz of silver each of
y days. Company management has set a target of...

1. Morning Sky, Inc. (MSI), manufactures and sells computer
games. The company has several product lines based on the age range
of the target market. MSI sells both individual games as well as
packaged sets. All games are in CD format, and some utilize
accessories such as steering wheels, electronic tablets, and hand
controls. To date, MSI has developed and manufactured all the CDs
itself as well as the accessories and packaging for all of its
products.
The gaming market...

A) Perth Mining Company operates two mines for the purpose of
extracting gold and silver. The Saddle Mine costs $16,000/day to
operate, and it yields 60 oz of gold and 3000 oz of silver each of
x days. The Horseshoe Mine costs $18,000/day to operate,
and it yields 80 oz of gold and 1250 oz of silver each of
y days. Company management has set a target of at least
700 oz of gold and 17,000 oz of silver. How...

Overview
Your assignment is to complete a wireless network design for a
small company. You will place a number of network elements on the
diagram and label them appropriately. A network diagram is
important to communicate the design features of a network between
network administrators, system administrators and cyber-security
analysts. It helps to create a shared mental model between these
different technologists, yet each will have their own perspective
on what is important to have documented on the diagram. Please...

Suppose your company imports computer motherboards from
Singapore. The exchange rate is currently 1.5130 S$/US$. You have
just placed an order for 31,000 motherboards at a cost to you of
230.80 Singapore dollars each. You will pay for the shipment when
it arrives in 90 days. You can sell the motherboards for $161
each.
a. Calculate your profit if the exchange rate falls by 11
percent over the next 90 days. (A negative answer should be
indicated by a minus...

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