The chief economist for a meat-packing plant estimates that if L worker-hours of labor are employed each week,the number of pounds of meat made ready for sale will be given by $Q ( L ) = 650 L ^ { 3 / 4 }$ .Find the average weekly output as labor varies from 480 to 790 hours.Round to the nearest pound.

Question

Quizplus · Accepted Answer

The average output is calculated using the integral of the production function over the interval [480, 790], divided by the length of the interval. The integral of $Q(L) = 650L^{3/4}$ from 480 to 790 is evaluated, and then divided by 310 (790 - 480). The result is approximately 82,069 pounds.

The Chief Economist for a Meat-Packing Plant Estimates That If Q(L)=650L3/4Q ( L ) = 650 L ^ { 3 / 4 }Q(L)=650L3/4

The Chief Economist for a Meat-Packing Plant Estimates That If $Q ( L ) = 650 L ^ { 3 / 4 }$