Question 6

Let x be the number of hours Resig performs, and let y be the number of hours Fuffi performs (in one day). The optimization problem then becomes

subject to 20x^0.2y^0.8 = 100.

Solving the constraint equation for y and substituting in the objective function gives

^5/4

^{- 1/4}

This has a minimum (graph it!) when x

2, and y

Thus, you should have Rezig perform for 2 hours and Fuffi for six.