the profit function,
put q =125,
profit area by sale of 126th item is $11.
Let C(q) represent the total cost of producing items and R(q) represent the total revenue from...
The total-cost, C(x), and total revenue, R(x), functions for producing x items are shown below, where 0 SXS 800 C(x) = 5900 + 100x and R(x) = - + 600X a) Find the total-profit function P(x). b) Find the number of items, x, for which the total profit is a maximum a) P(x) = b) The profit is maximized for a production of units
The table shows the marginal cost C'(x), the marginal revenue R'(x) for producing x items. The third column, P'(x), is partially completed. All values are in dollars per item. (a) Complete the remaining entries in the third column. (b) What does the table tell you about the revenue function? (c) Find the production level that maximizes profit. P'(x) -21 O 43 NOT 64 10 43 43 40 16 43 70 43 43 90208143 43 - 165
The cost of producing q items is C(q) = 2500+ 18q dollars. (a) What is the marginal cost of producing the 100th item? the 1000th item? The marginal cost to produce the 100th unit is $ The marginal cost to produce the 1000th unit is $ (b) What is the average cost of producing 100 items? 1000 items? The average cost of producing 100 units is $ per unit. The average cost of producing 1000 units is $ per unit.
Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the production and sale of x items. If R(x) = 5x and C(x) = 0.004x2 + 1.1x + 70, find each of the following. a) P(x) b) R(100), C(100), and P(100) c) R'(x), C'(x), and P'(x) d) R' (100), C'(100), and P'(100) a) P(x) = (Use integers or decimals for any numbers in the expression.) b) R(100) = $ (Type an integer or a decimal.)...
Suppose the cost of producing x items is given by C(x)=1000-x^3, and the revenue made on the sale of x-items is R(x)=100x-10x^2. Find the number of items which serves as a break-even point.
1. The total cost to manufacture and sell q cars is given by the cost equation C(q)=2000+59 The revenue equation is R(q)= 40q-0.050 dollars for the sale of q exactotherms. Assume the profit is P(q) = R(q) - C(q). a. Find the marginal cost. b. Find the marginal revenue. c. What is the profit equation? P(q) = 2. a. Find the number of items q to sell so that the profit function P(q) has its maximum Confirm that you answer...
Total cost is C 8700 + 4.40 and total revenue is R = 5.159, both in dollars, where represents the quantity produced (a) What is the fixed cost? The fixed cost is $ Number (b) What is the marginal cost per item The marginal cost is $ Number (c) What is the price at which this item is sold? The selling price is $ Number (d) For what production levels does this company make a profit The company makes a...
A. Given cost and revenue functions and C(q) = 112q + 44000 and R(q) = -3q^2 + 2500q, how many items must the company produce and sell to earn a profit of 67,900? The company must produce _ items. B. Given cost and revenue functions and C(q) = 112q + 43000 and R(q) = -3q^2 + 2800q, how many items must the company produce and sell to break even? The company must produce and sell _ items.
41. Revenue and Marginal Revenue Let R(x) denote the revenue (in thousands of dollars) generated from the production of x units of computer chips per day, where each unit consists of 100 chips. (a) Represent the following statement by equations involving R or R': When 1200 chips are produced per day, the rev- enue is $22,000 and the marginal revenue is $.75 per chip. (b) If the marginal cost of producing 1200 chips is $1.5 per chip, what is the...
41. Revenue and Marginal Revenue Let R(x) denote the revenue (in thousands of dollars) generated from the production of x units of computer chips per day, where each unit consists of 100 chips. =X (a) Represent the following statement by equations involving R or R': When 1200 chips are produced per day, the rev- enue is $22,000 and the marginal revenue is $.75 per chip. (b) If the marginal cost of producing 1200 chips is $1.5 per chip, what is...