In the manufacture of a product, fixed costs per week are $4000. Fixed costs are costs, such as rent and insurance, that remain constant at all levels of production during a given time. If the marginal-cost dc -= 0.000001q² – 0.25q + 0.2. dq function is (i) Compute the fixed cost of producing 10,000 kg in 1 week. (ii) Compute the total cost of producing 10,000 kg in 1 week.

bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.

Suppose a company manufactures MP3 players and sells them to retailers for $98 each. It has fixed costs of $262,500 related to the production of the MP3 players, and the cost per unit for production is $23. What is the marginal cost for this product? Is the marginal cost equal to the variable cost or the fixed cost?

A perishable dairy product is ordered daily at a particular supermarket. The product costs $1.16 per unit and sells for $1.75 per unit. If units are unsold at the end of the day, the supplier takes them back at a rebate of $1 per unit. Assume that daily demand is approximately normally distributed with = 150 and = 30. (a) What is your recommended daily order quantity for the supermarket? (You may need to use the appropriate appendix table or technology to answer this question. Round your answer to the nearest integer.) Q* = (b) What is the probability that the supermarket will sell all the units it orders? (Round your answer to four decimal places.) P(stockout) = (c) In problems such as these, why would the supplier offer a rebate as high as $1? For example, why not offer a nominal rebate? Find the recommended order quantity at 25¢ per unit. (Round your answer to the nearest integer.) Q* = What happens to the supermarket order quantity as the rebate is reduced? The higher rebate…