Question

* City Computers has determined that the price-demand and revenue functions are given by p(x) =...

* City Computers has determined that the price-demand and revenue functions are given by p(x) = 2,000 – 6x and R(x) = x(2,000 – 6x), where x is in thousands of computers. This means that R(x) is measured in thousands of dollars.

Additionally we know:

* The fixed cost is $100,000.

* The variable cost is $250 per computer.

This means that the cost function is given by C(x) = 100 + 250x. Also again C(x) is measured in thousands of dollars.

They would like your help with the following deliverables:

  1. A profit function for selling x thousand notebook computers.
  2. The expected profit for sales of the following quantities of computers: 5,000, 10,000,15,000, 20,000, and 25,000 computers.
  3. The cost, revenue and profit functions on one Excel graph.
  4. The wholesale price and production level that will maximize profits.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The revenue and cost functions for a particular product are given below. The cost and revenue...
The revenue and cost functions for a particular product are given below. The cost and revenue are given in dollars, and x represents the number of units . R(x) = −0.2x2 + 146x C(x) = 66x + 7980 (a) How many items must be sold to maximize the revenue? (b) What is the maximum revenue? (c) Find the profit function. P(x) =   −.2x2+212x+7980 (d) How many items must be sold to maximize the profit? (e) What is the maximum profit?...
1 point) The price-demand and cost functions for the production of microwaves are given as p=280−x40p=280−x40...
1 point) The price-demand and cost functions for the production of microwaves are given as p=280−x40p=280−x40 and C(x)=20000+100x,C(x)=20000+100x, where xx is the number of microwaves that can be sold at a price of pp dollars per unit and C(x)C(x) is the total cost (in dollars) of producing xx units. (A) Find the marginal cost as a function of xx. C′(x)C′(x) =   (B) Find the revenue function in terms of xx. R(x)R(x) =   (C) Find the marginal revenue function in terms...
The demand function for a certain brand of CD is given by p = −0.01x^2 −...
The demand function for a certain brand of CD is given by p = −0.01x^2 − 0.2x + 11 where p is the wholesale unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. The supply function is given by p = 0.01x^2 + 0.4x + 3 where p is the unit wholesale price in dollars and x stands for the quantity that will be made available in the market by the...
1. The cost function C and the price-demand function p are given. Assume that the value...
1. The cost function C and the price-demand function p are given. Assume that the value of C(x)  and p(x) are in dollars. Complete the following. C(x) = x^2/100 + 6x + 1000; p(x) = x/20+25 (a) Determine the revenue function R and the profit function P. R(x) =    P(x) = (b) Determine the marginal cost function MC and the marginal profit function MP. MC(x) =    MP(x) = 3. Determine the derivative for the given single-term function. When appropriate,...
Let's say an online retailer sells tablets. The demand (price) function is given by p(x)=500−18x, where...
Let's say an online retailer sells tablets. The demand (price) function is given by p(x)=500−18x, where x is the number of tablets produced sold and p(x) is the price per week, while the cost, in dollars per week to produce x tablets is given by C(x)=35000+120x. Based on this, answer the following questions: 1. Determine the Revenue Function. 2. Determine the number of tablets the retailer would have to sell to maximize revenue. What is the maximum revenue? 3. Determine...
A local electronics store estimates that when x computers are sold in a month, the revenue...
A local electronics store estimates that when x computers are sold in a month, the revenue and cost functions are R(x) = 0.1x 3 − 24.5x 2 + 1, 440x and C(x) = 0.5x 2 + 250x + 10, 000 respectively, both measured in dollars, on the implied domain 0 ≤ x ≤ 120. Use a Math 144-appropriate technique to find the most profit that can be earned in a month. Round and label appropriately
A company manufactures microchips. Use the revenue function R(x) = x(75-3x) and the cost function C(x)...
A company manufactures microchips. Use the revenue function R(x) = x(75-3x) and the cost function C(x) = 125+14x to answer parts (A) through (D), where x is in millions of chips and R(x) and C(x) are in millions of dollars. Both functions have domain 1≤ x ≤ 20. (D) Find the value of x (to the nearest thousand chips) that produces the maximum profit. Find the maximum profit (to the nearest thousand dollars), and compare it to the maximum revenue....
7. A furniture company is faced with the following the price-demand function, revenue function, and cost...
7. A furniture company is faced with the following the price-demand function, revenue function, and cost function: p(x) = 90 - 5x R(x) = xp(x) C(x) = 250 + 15x where p(x) is the price in dollars at which x hundred chairs can be sold and R(x) and C(x) are in thousands of dollars. (a) Give the revenue R for producing 1200 chairs. (b) Find the production level that gives the break-even point. (c) Find the production level that gives...
The cost function C and the price-demand function p are given. Assume that the value of...
The cost function C and the price-demand function p are given. Assume that the value of C(x) and p(x) are in dollars. Complete the following. C(x) = x2 100 + 7x + 3000; p(x) = − x 40 + 5 (a) Determine the revenue function R and the profit function P. R(x) = P(x) = (b) Determine the marginal cost function MC and the marginal profit function MP. MC(x) = MP(x) = Here is a picture of the problem: https://gyazo.com/b194ec1a9b7787b8b81ad12388ff915e
Find the price that will maximize profit for the demand and cost functions, where p is...
Find the price that will maximize profit for the demand and cost functions, where p is the price, x is the number of units, and C is the cost. Demand Function      Cost Function p = 78 − 0.1 Sqared Root (x)*** x ***      C = 33x + 550 $ ______per unit
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT