Question

True or Fales?

A pizza shop produces half-baked, frozen pizzas. The shop specializes in two very popular pizzas, Romeo's Special (RS) and Juliet'sPepperoni (JP), and uses two processes in making them: fixing (preparing the dough, putting on the sauce, and adding various other ingredients) and baking. While an RS takes 3 minutes to fix and 6 minutes to bake, a JP requires 1.5 minutes to fix and 7 minutes to bake. The shop has only one cook, so the daily production is limited by his working hours and the oven capacity: 8 hours of fixing the time and 24 hours of oven time. Moreover, at least 80 JPs will be made each day due to a constant demand for it. The average unit profits for RS and JP are, respectively, $1.2 and $0.9. The shop is trying to determine the number of each type of pizza to produce to maximize the daily total profit. The complete LP model for the problem is:

Let:

r = Number of RS pizzas to be made

j = Number of JP pizzas to be made

Minimize: 1.2r + 0.9j

Subject to:

3r + 1.5j ≤ 480

6r + 7j ≤ 1440

r, j ≥ 0

True

False

Answer 1

False..The model given is incorrect

The complete LP model is

r = Number of RS pizzas to be made

j = Number of JP pizzas to be made

Maximize 1.2r+0.9j [In the question it is given Minimize instead of Maximize]
j>=80
3r+1.5j<=8*60
6r+7j<=24*60
r,j>=0