A weight-loss counselor has prepared a program of diet and exercise for a client that gives the following expected weight loss (in pounds per week), where c is the average daily calorie intake and n is the number of 40-minute aerobic workouts per week.

Weight loss=f(n,c)=1/10n^21/5c+2423/10

a. How many pounds can the client expect to lose by eating an average of 1200 calories per day and participating in

three 40-minute workouts in a week?

The client can expect to lose__ pounds in a week. (Simplify your answer.)

b. Find and interpret f/n.

The partial derivative

f/n is the rate of change of weight loss per unit change in workouts.

c. The client currently averages 1100cal per day and does two 40-minute workouts each week. What would be the approximate impact on weekly weight loss of adding a third workout per week?

By adding a third 40-minute workout per week, the client could expect to lose an additional___