Suppose Panini employs 1 worker at each step. a) Does Panini have enough capacity to fulfill the current demand for sandwiches? (b) What is the current capacity cushion for Panini? (as a %) c) If demand for Pastramis increase with the percentage indicated below, how much additional workers should Panini hire (if any), and where (which step)? % increase in demand for Pastramis: 70%

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section4.8: Data Envelopment Analysis (dea)
Problem 42P
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Panini, a popular sandwich shop, offers 3 types of sandwiches: grilled vegetables, grilled chicken, and pastrami. The table below provides demand data:

  Grilled Vegetables Grilled Chicken Pastrami
Demand per hour 25 9 12

There are up to five steps in the process of making sandwiches listed below with activity times (if no activity time, then than step is not done for that sandwich). Only 50% of customers want their sandwich toasted, no matter which sandwich is ordered.

Step Grilled Vegetables
(in minutes)
Grilled Chicken
(in minutes)
Pastrami
(in minutes)
Cut bread 1 1 1
Grill 1.2 1.2  
Slice meat     2
Toast 1.2 1.2 1.2
Wrap 0.8 0.8 0.8

 

Suppose Panini employs 1 worker at each step.

a) Does Panini have enough capacity to fulfill the current demand for sandwiches?

(b) What is the current capacity cushion for Panini? (as a %)

c) If demand for Pastramis increase with the percentage indicated below, how much additional workers should Panini hire (if any), and where (which step)?

% increase in demand for Pastramis: 70%

Nr of additional worker to hire

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