Suppose that each day a company has fixed costs of 400 dollars and variable costs of 0.75x+1430 dollars per unit, where x is the number of units produced that day. Suppose further that the selling price of its product is 1600−0.3x dollars per unit.(a) Each day, the company breaks even at production levels units.

Question

Suppose that each day a company has fixed costs of 400 dollars and variable costs of 0.75x+1430 dollars per unit, where x is the number of units produced that day. Suppose further that the selling price of its product is 1600−0.3x dollars per unit.(a) Each day, the company breaks even at production levels  units. 
(Enter your answers as a comma-separated list, if necessary)

(b) The maximum daily revenue attained is  dollars.

(c) The price that maximizes profit is  dollars per unit.

oobleck · Answer

cost c(x) = fixed costs + x*variable costs revenue r(x) = price * quantity profit p(x) = revenue - cost so see what you can do with that.