A piano manufacturer has a daily fixed cost of $1,800 and a marginal cost of $2,000 per piano. Find the cost  C(x)  of manufacturing x pianos in one day. C(x) =        Use your function to answer the following questions. (a) On a given day, what is the cost of manufacturing three pianos? $  (b) What is the cost of manufacturing the third piano that day? $  (c) What is the cost of manufacturing the 11th piano that day? $  (d) What is the variable cost? $       What is the fixed cost? $  What is the marginal cost? $  per piano

The cost of renovating p%of pollutants from a coal -fired power plant can be given by the following function c(p)=8000p/100-p with c being the cost in dollars,  What is the cost of to remove 25% and the cost of removing 75%?  What do you notice about the values?  What could the cost be to remove 100%?  Explain your answer.

A company produces very unusual CD's for which the variable cost is $12 per CD and the fixed costs are $40,000. Assume that they will sell all the CD's they can produce, and their selling price is $42 each. Let x be the number of CD's produced. Write the total cost C as a function of the number of CD's produced. C(x) = Write the total revenue R as a function of the number of CD's produced. R(x) = Write the total profit P as a function of the number of CD's produced. P(x) = Write the marginal profit as a function of the number of CD's produced. Marginal profit =

A dairy spends $24,000 per year to maintain its barns and equipment. It costs $2000 per year to feed and care for each dairy cow. (a) Using C for the number of dairy cows and E for the total yearly expense, in dollars, find a formula that gives the total yearly expense as a linear function of the number of dairy cows. E =        (b) Use functional notation to express the total expense if the dairy has 40 cows. E(40) E(40C)      40E E(2000) E(24,000) (c) Calculate the value from part (b). $