1-The total profit (in dollars) from the production and sales of x espresso machines is P(x)=60x-0.8x^2-210
a. How many espresso machines must be produced and sold to have a marginal profit $260 dollars per unit?
b. Find the marginal profit at a production/sales level of 350 machines dollars per espresso machine
2-The price-demand and cost functions for the production of microwaves are given as P(x)=290-x/40 and C(x)=40000+50x where
x is the number of microwaves that can be sold at a price of p dollars per unit and C(x) is the total cost (in dollars) of producing x units.
a. Find the profit function in terms of x.
b. Evaluate the marginal profit function at x=1500 microwaves rounded to the nearest cent?