Question

Question 4 i. The profit for a product is given by π(x) = −1600 + 100x...

Question 4 i. The profit for a product is given by π(x) = −1600 + 100x − x^2, where x is the number of units produced and sold. How many units of the product must be sold to break-even? ii. Write the profit function in the form k − a(x − h)^2 . a. How many units of the product must be sold to maximise profit? b. What would the maximum profit be?

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
A company has determined that its profit for a product can be described by a linear...
A company has determined that its profit for a product can be described by a linear function. The profit from the production and sale of 150 units is $455, and the profit from 250 units is $895. (i) What is the average rate of change of the profit for this product when between 150 and 250 units are sold? (ii) Write the equation of the profit function for this product. (iii) How many units give break-even for this product?
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 profit function for a computer company is given by P(x)=−x2+26x−13 where x is...
(1 point) The profit function for a computer company is given by P(x)=−x2+26x−13 where x is the number of units produced (in thousands) and the profit is in thousand of dollars. a) Determine how many (thousands of) units must be produced to yield maximum profit. Determine the maximum profit. (thousands of) units = maximum profit = thousand dollars b) Determine how many units should be produced for a profit of at least 40 thousand. more than [Answer] (thousands of) units...
. [Multi-product Firm’s Profit Maximization] Find (i) the profit maximizing output levels x and y and...
. [Multi-product Firm’s Profit Maximization] Find (i) the profit maximizing output levels x and y and (ii) the maximum profit for a firm producing two goods x and y with the profit function π(x, y) = 122x−2x 2 −2xy−4y 2 +180y−200.
The total revenue function for a certain product is given by R=590x dollars, and the total...
The total revenue function for a certain product is given by R=590x dollars, and the total cost function for this product is C=15,000 +50x + x squared 2 dollars, where x is the number of units of the product that are produced and sold. a. Find the profit function. b. Find the number of units that gives maximum profit. c. Find the maximum possible profit.
the demand function P=1600-4q is for trucks (p=price q=quantity) Average cost= (300/q)+20 is my TC=300+20q since...
the demand function P=1600-4q is for trucks (p=price q=quantity) Average cost= (300/q)+20 is my TC=300+20q since TC=AC*Q Q- How many trucks must be produced and sold to maximise total profit ?
The total revenue function for a certain product is given by Requals=440440x ​dollars, and the total...
The total revenue function for a certain product is given by Requals=440440x ​dollars, and the total cost function for this product is Cequals=20 comma 00020,000plus+4040xplus+x squaredx2 ​dollars, where x is the number of units of the product that are produced and sold. a. Find the profit function. b. Find the number of units that gives maximum profit. c. Find the maximum possible profit.
. The total cost function for a product is ?(?) = 15? + 600, and the...
. The total cost function for a product is ?(?) = 15? + 600, and the total revenue is R(x) = 20x, where x is the number of units produced and sold. a) Find the marginal cost. b) Find the marginal revenue c) Find the profit function. d) Find the number of units that gives the break-even point. e) Find the marginal profit and explain what it means 9. *please show all work*
If the profit function for a product is P(x) = 4800x + 90x^2 − x^3 −...
If the profit function for a product is P(x) = 4800x + 90x^2 − x^3 − 199,000 dollars, selling how many items, x, will produce a maximum profit? x = items Find the maximum profit. $
The function y(x,t) = 0.3 sin( 2 π t -2 π x + π /4) represents...
The function y(x,t) = 0.3 sin( 2 π t -2 π x + π /4) represents the vertical position of an element of a taut string upon which a transverse wave travels. This function depends on the horizontal position along the string, x, and time, t. y and x are in units of meters and t is in units of seconds. Do not use symbols in any of your answers below. Only use integers or decimals. a. Determine the angular...