A fast-food restaurant serves hamburgers, cheeseburgers, and chicken sandwiches. The restaurant counts a cheeseburger as equivalent to 1.29 hamburgers and chicken sandwiches as 0.80 hamburger. Current employment is four full-time employees who work a 40-hour week.

a.

If the restaurant sold 700 hamburgers, 900 cheeseburgers, and 500 chicken sandwiches in one week, what is its productivity? (Round your answer to 2 decimal places.)

Productivity

b.

What would its productivity have been if it had sold the same number of sandwiches (2,160), but the mix was 720 of each type? (Round your answer to 2 decimal places.)

a. 14.13 Hamburger per week b. 13.78 Hamburger per week

Explanation:

a. First of all we can convert all the items on the menu to a same unit.

1 Cheese Burger = 1.29 Hamburger

1 Chicken Sandwich = 0.8 Hamburger

So in the first week total output of the restaurant is

Output = 700 Hamburger + 900 Cheeseburger + 500 Chicken Sandwich

or

Output = 700 Hamburger + 900*1.29 Hamburger + 500*0.8 Hamburger

Output = 2261 Hamburger

And as there are 4 workers so total input is

Input = 4*40 = 160 hours

The productivity is given by

Productivity = Output/Input

So

Productivity = 2261 Hamburgers/160 Hours

Productivity = 14.13 Hamburger per week

b. If the restaurant sold 720 of each sandwich, then total output would be given by

Output = 720 Hamburger + 720 Cheeseburger + 720 Chicken Sandwich

Output = 720 Hamburger + 720*1.29 Hamburger + 720*0.8 Hamburger

Output = 2204.8 Hamburger

So the productivity would have been

Productivity = 2204.8 Hamburgers/160 Hours

Productivity = 13.78 Hamburger per week

Which would have been lower as that of in the first case.