Question

Paul’s Pizza Parlor bakes pizza pies according to Q = 3 L – 0.3 L 2. If labor costs $6 and pizza sells for $10, the optimal amount of labor is:

Answer 1

Answer: 4 units of labor

Step-by-step explanation:

Optimum amount of labor occurs where marginal revenue equals marginal cost which means:

Marginal revenue product = Cost of labor

Marginal revenue product = Marginal product of labor * Prize of pizza

Marginal product of labor = differentiation of Q

= dQ/dL

= d(3L - 0.3L²)

= 3 - 0.6L

Marginal revenue product = (3 - 0.6L) * 10

= 30 - 6L

Marginal revenue product = Cost of labor

30 - 6L = 6

30 - 6 = 6L

L = 24/6

= 4 units of labor