DIRECTION:
Show all work â facts, primary and secondary equations, finding the derivatives, doing sign tests, and donât forget to answer the questions asked!
1. An efficiency study of the first shift (from 8:00 A.M. to 5:00 P.M.) at a certain factory indicates that an average worker who arrives on the job at 8:00 A.M. will have assembled Q(t) = -t3 + 6t2 + 15t transistor radios t hours later. At what time during the shift is the worker performing most efficiently?
2. An appliance firm is marketing a new refrigerator. It determines that in order to sell x refrigerators, the price per refrigerator must be p = 280 â 0.4x. It also determines that the total cost of producing x refrigerators is given by C (x) = 5000 + 0.6x2 . How many refrigerators must the company produce and sell in order to maximize profit? What is the maximum profit?
DIRECTION:
Show all work â facts, primary and secondary equations, finding the derivatives, doing sign tests, and donât forget to answer the questions asked!
1. An efficiency study of the first shift (from 8:00 A.M. to 5:00 P.M.) at a certain factory indicates that an average worker who arrives on the job at 8:00 A.M. will have assembled Q(t) = -t3 + 6t2 + 15t transistor radios t hours later. At what time during the shift is the worker performing most efficiently?
2. An appliance firm is marketing a new refrigerator. It determines that in order to sell x refrigerators, the price per refrigerator must be p = 280 â 0.4x. It also determines that the total cost of producing x refrigerators is given by C (x) = 5000 + 0.6x2 . How many refrigerators must the company produce and sell in order to maximize profit? What is the maximum profit?
