The Marginal Product Curve and the Short Run

One variable input

Average and marginal

Why the short run hurts

Applications and beyond

Input 2 is frozen at 9 in f equal to x1 to the one half x2 to the one half. What is short-run output as a function of x1?

For that slice, how does marginal product behave as x1 grows?

In the short-run product schedule, when exactly is average product rising?

What distinguishes a fixed input from a variable one?

For g equal to 3 root x1, compute the marginal product at x1 equal to 4, and write the number.

For the same slice, compute output at x1 equal to 8, and write the number to two decimals.

For g equal to 3 root x1, what are output and marginal product at x1 equal to 1?

For g equal to 3 root x1, what is the marginal product at x1 equal to 9, and how does it compare with average product?

What is the marginal product at x1 equal to 25 for this same slice?

Doubling x1 from 4 to 8 with x2 frozen at 9 raises output from 6 to about 8.49. What would doubling both inputs achieve?

For g equal to 3 root x1, compute the marginal product at x1 equal to 1, and write the number.

For g equal to 3 root x1, compute the marginal product at x1 equal to 25, and write the number as a decimal.