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3. The total cost and total revenue for a necklace are given by C(x) = 35x...
Suppose a ceiling fan manufacturer has the total cost function C(x) = 35x + 480 and the total revenue function R(x) = 47x. (a) What is the equation of the profit function P(x) for this commodity? P(x) = (b) What is the profit on 20 units? P(20) = Interpret your result. The total costs are less than the revenue. The total costs are more than the revenue. The total costs are exactly the same as the revenue. (c) How many...
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?
Given the cost function C(x) and the revenue function R(x), find the number of the units x that must be sold to break even. C(x)=1.4+4800 and R(x)=1.7x How many units must be produced and sold in order to break even?
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...
Given the cost function, C(x), and the revenue function, R(x), find the number of units x that must be sold to break even. C(x) = 81x + 1750 R(x) = 106x
The point at which a company cost equals its revenue is its break even point. C represents the cost, in dollars of of x units of a product abd R represents the revenue in dollars from the sale of x units. Find the number of units that must be produced and sold in order to break even. That is find the value of x for which C=R. C=13x+42,000 and R = 16x. How many units must be produced and sold...
2. Suppose the demand function relating demand and price is given by pix)- 50-0.005x. The total cost of making x units is given by C )-0.00001 x3-0,033 x2+48x+5,000 a) Find the revenue function R(x). b) Find the profit function P(x). c) How many units must be made and sold to maximize profit? Verify that you have found the maximum using d) e) f) the first derivative test. What is the maximum profit? What are the marginal cost, marginal revenue and...
The revenue function R(x) and the cost function C(x) for a particular product are given. These functions are valid only for the specified range of values. Find the number of units that must be produced to break even. R(x) = 200x - 2x2 ; C(x) = - x2 + 5x + 8450 ; 0 ≤ x ≤100 The manufacturer must produce --------------- units to break even.
DETAILS HARMATHAPBR1 9.9.008. Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the total revenue function for a product is R(x) = 55x and that the total cost function is c(X) - 1700 + 35x + 0.01x2. (a) Find the profit from the production and sale of 500 units. $ (b) Find the marginal profit function. (c) Find MP at x = 500. on the sale of the next (501st) unit. Explain what...
The revenue function R(x) and the cost function C(x) for a particular product are given. These functions are valid only for the specified range of values. Find the number of units that must be produced to break even. R(x)=200x- x2, C(x)=20x+6500, 0 less than or equals X less than or equals 100.The manufacturer must produce ---- units to break even.