Ore Production The amount of uranium ore mined by a certain type of mining equipment...

Ore Production The amount of uranium ore mined by a certain type of mining equipment depends on the size of the mining crew. The figure shows total ore production (total product) in tons for a crew averaging x crew-hours each day. It also shows the average ore produced per crew member (average product) as well as the additional amount of ore that could be produced by adding one crew member to a crew working a given number of crew-hours (marginal product).

Fill in each of the following blanks with the appropriate term: total product, average product, or marginal product.

a. For a crew working 32 crew-hours, the rate of change of _______ and _______ is positive.

b. For a crew working 30 crew-hours, _______ and _______ can both be improved by adding crew-hours.

c. At 56 crew-hours, the tangent to _______ has greater 13. negative slope than the tangent to _______.

d. Any tangent lines drawn on _______ for more than 24 crew-hours will have negative slope.

e. The slope of _______ is positive for less than 64 hours.

f. For a crew working 75 crew-hours, the slope of _______ and _______ are nearly equal.

g. For a crew working 24 crew-hours, _______ is near its greatest slope.