The owner of a fast-food chain determines that if x thousand units of a new meal item are supplied, then the marginal price at that level of supply is given by

where p(x) is the price (in dollars) per unit at which all x thousand meal units will be sold. Currently, 5,000 units are being supplied at a price of $2.20 per unit.

a. Find the supply (price) function p(x).

b. If 10,000 meal units are supplied to restaurants in the chain, what unit price should be charged so that all the units will be sold?

Transcribed Image Text:

p'(x) X (x + 3)² dollars per meal