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A fast-food restaurant serves hamburgers, cheeseburgers, and chicken sandwiches. The restaurant counts a cheeseburger as equivalent to 1.25 hamburgers and chicken sandwiches as 0.8 hamburger. Current employment is fi ve full-time employees who work a 40-hour week. If the restaurant sold 700 hamburgers, 900 cheeseburgers, and 500 chicken sandwiches in one week,
what is its productivity?
What would its productivity have been if it had sold the same number of sandwiches (2,100), but the mix was 700 of each type?

Respuesta :

ebrightosagie

Answer: 11.125 and 10.675

Explanation:

1. Hamburgers = 700

Cheese burgers = 900 * 1.25 = 1125.

Chicken sandwich = 0.8* 500 = 400

Hamburger = 700+1125+400 = 2225

Total input hours = 5* 40hrs = 200hrs

Productivity = output / input

= 2225 / 200 = 11.125.

2. Productivity had it sold same number of sandwiches 2100 but 700 for each.

Hamburgers = 700

Cheese burgers = 700 * 1.25 = 875.

Chicken sandwich = 0.8* 700 = 560

Hamburger = 700+875+560 = 2135

Total input hours = 5* 40hrs = 200hrs

Productivity = output / input

= 2135 / 200 = 10.675.

facundo3141592

By defining productivity as the quotient between the output (in hamburgers) and the input (in hours) we will get:

a) P = 11,125 hamburgers per hour.

b) P =  10,625 hamburgers per hour.

How to find the productivity?

Finding the input:

There are 5 employees that work 40 hours each week, so the input is:

5*40h = 200h

Finding the output:

  • There are 700 hamburgers.
  • 900 cheeseburgers = 900*(1.25 hamburgers) = 1,125 hamburgers.
  • 500 chicken sandwiches = 500*(0.8 hamburgers) = 400 hamburgers.

So the total output is 700 + 400 + 1,125 = 2,225

Then the productivity is:

P = (2,225 hamburgers)/(200 h) = 11,125 hamburgers per hour.

Now we want to find the productivity if 700 sandwiches of each type were sold.

The output is:

  • 700 hamburgers.
  • 700 cheeseburgers = 700*(1.25 hamburgers) = 875 hamburgers.
  • 700 chicken sandwiches = 700*(0.8 hamburgers) = 560 hamburgers.

So the output is 700 + 865 + 560 = 2,125

Then the productivity is:

P = (2,125 hamburgers)/(200h) = 10,625 hamburgers per hour.

If you want to learn more about productivity, you can read:

https://brainly.com/question/2992817

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