The cost for producing cleaning robots is given by the following function: C(x) =x2-12x2+59x +280 The revenue function for this product is: R(x) = -6x2 +150x X: number of robots, Domain x e [0,12]; C, R are both measured in Euros a) Make a value table for both functions for x = 0, 2.4.6. 8. 10, 12 and mark the two functions n uhe graph below. b) What are the fixed costs for this production? c) Calculate the marginal cost function. For what quantity are the marginal costs the lowest and what is their amount? a) Calculate the break-even points and mark them on the cost and revenue function. e) Calculate the profit function and mark it in the graph. For what quantity x do you get maximum profit? Round the units to the nearest integer and calculate the profit for this quantity. Mark this point in the graph.
The cost for producing cleaning robots is given by the following function: C(x) =x2-12x2+59x +280 The revenue function for this product is: R(x) = -6x2 +150x X: number of robots, Domain x e [0,12]; C, R are both measured in Euros a) Make a value table for both functions for x = 0, 2.4.6. 8. 10, 12 and mark the two functions n uhe graph below. b) What are the fixed costs for this production? c) Calculate the marginal cost function. For what quantity are the marginal costs the lowest and what is their amount? a) Calculate the break-even points and mark them on the cost and revenue function. e) Calculate the profit function and mark it in the graph. For what quantity x do you get maximum profit? Round the units to the nearest integer and calculate the profit for this quantity. Mark this point in the graph.
Chapter10: Cost Functions
Section: Chapter Questions
Problem 10.7P
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