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The total-cost, C(x), and total revenue, R(x), functions for producing x items are shown below, where...
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 unitsR(x)=-0.8x2+608xC(x)=256x+36720(a) How many items must be sold to maximize the revenue?(b) What is the maximum revenue?(c) Find the profit function.(d) How many items must be sold to maximize the profit?(e) What is the maximum profit?(f) At what production level(s) will the company break even on this product?
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
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.
Graphs of the cost C(x), revenue R(x) and the profit P(x), in thousands of dollars, are shown, where x is the number of thousands of items produced. (a) Use the graph to find the formula for the revenue R(x). (b) The profit is given by P(x) = – x2 + 15x² - 27x- 50. What is the formula for the cost function C(x)? (c) Report the fixed costs. (d) Report the minimum marginal cost. (e) What is the largest profit...
The total revenue function for a certain product is given by The total revenue function for a certain product is given by R=630x dollars, and the total cost function for this product is C = 10,000+ 30x + x2 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. a. P(x)= (Simplify your...
(1 point) The price-demand and cost functions for the production of microwaves are given as P=240- C(x) = 46000 + 40., is the number of microwaves that can be sold at a price of p dollars per unit and C where units. ) is the total cost (in dollars) of producing (A) Find the marginal cost as a function of C'(x) = (B) Find the revenue function in terms R(x) = (C) Find the marginal revenue function in terms of...
The total revenue function for a product is given by R=655x dollars, and the total cost function for this same product is given by C=19,250+70x+x2, where C is measured in dollars. For both functions, the input x is the number of units produced and sold. a. Form the profit function for this product from the two given functions. b. What is the profit when 25 units are produced and sold? c. What is the profit when 43 units are produced...
The graphs of the revenue and cost functions for the production and sale of z units are shown below. The cost function is the straight line, and the revenue function is the curve. 77000 70000 63000 56000 49000 42000 35000 28000 21000 14000 0 0 100200 300 400 500 600 700 800 900 1000 1100 1200 a. Use the graph to estimate the production level z that maximizes profit. Use only values that appear on the horizontal axis for your...
Financial Mathematics Please answer question 4 and question 5 o)23:30 Oe Image Edit View Go Help En Question 4 The total cost of producing x units of a commodity per week is C(x) 200 +4x +0,1x2 (a) Find the marginal cost when the production level is 100 units. (b) Use the marginal cost to approximate the cost of producing the 101 st unit. (c) Find the exact cost of producing the 101 st unit. (d) Assuming that the commodity is...
please show ALL STEPS and box answers, will thumbs up, Thanks! The price-demand and cost functions for the production of microwaves are given as 2 p=220 - 50 and C(2) = 16000 + 802, where x is the number of microwaves that can be sold at a price of p dollars per unit and C(x) is the total cost (in dollars) of producing a units. (A) Find the marginal cost as a function of x. C'(x) = 80 (B) Find...