Chapter 1.7, Problem 42E

Refer to Exercise 41. Is it profitable to produce $1300$ chips per day if the cost of producing $1200$

chips per day is $\$14,000$?

Revenue and Marginal Revenue Let $R(x)$

denote the revenue (in thousands of dollars) generated from the production of $x$ units of computer chips per day, where each unit consists of $100$ chips.

a. Represent the following statement by equations involving $R$

or $R\text{'}$. When $1200$ chips are produced per day, the revenue is $\$22,000$

and marginal revenue is $\$.75$

per chip.

b. If the marginal cost of producing $1200$

chips is $\$1.5$

per chip, what is the marginal point at this production level?