As the owner of a fast food restaurant with declining sales, your customers are looking for something new and exciting on the menu. Your market research indicates that they want a burger that is loaded with everything as long as it meets certain health requirements. Money is no object to them. Use Excel to answer this question  Requirements:  Must include at least one of each item and no more than six of each item   Must use whole items (no half or partial servings)  Final burger must contain no more than: 3,000 mg of sodium  150 g of fat  3,000 calories  Must keep the servings of ketchup and lettuce the same  Must keep the servings of pickles and tomatoes the same Must use exactly two buns a. What is the most expensive burger you can make that meets these requirements?  b. What are the allocations of each ingredients.  write a mathematical model that helps the manager design the most expensive burger  build an excel silver model for the mathematical model you built (please show excel steps) what is the most expensive burger you can make that meets the requirements

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter3: Introduction To Optimization Modeling
Section: Chapter Questions
Problem 49P
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As the owner of a fast food restaurant with declining sales, your customers are looking for something new and exciting on the menu. Your market research indicates that they want a burger that is loaded with everything as long as it meets certain health requirements. Money is no object to them. Use Excel to answer this question 

Requirements: 

  • Must include at least one of each item and no more than six of each item 
  •  Must use whole items (no half or partial servings) 
    • Final burger must contain no more than:
      • 3,000 mg of sodium 
      • 150 g of fat 
      • 3,000 calories 
    • Must keep the servings of ketchup and lettuce the same 
    • Must keep the servings of pickles and tomatoes the same
    • Must use exactly two buns
      1. a. What is the most expensive burger you can make that meets these requirements? 
      2. b. What are the allocations of each ingredients. 
  • write a mathematical model that helps the manager design the most expensive burger 
  • build an excel silver model for the mathematical model you built (please show excel steps)
  • what is the most expensive burger you can make that meets the requirements 
 
A
F
The ingredient list in the table below shows what is available to
Item
Sodium (mg) Fat (g)
Calories
Item Cost ($)
Beef Patty
50
$0.25
$0.15
17
220
Bun
330
260
Cheese
310
6.
70
$0.10
Onions
1
2.
10
$0.09
Pickles
260
$0.03
Lettuce
3.
0%
4
$0.04
Ketchup
160
20
S0.02
Tomato
6.
$0.04
Requirements:
mmurt includo atloart ono of oach itom and no more than six ofeach ite
Fonch
shit
e
5.
3.
Transcribed Image Text:A F The ingredient list in the table below shows what is available to Item Sodium (mg) Fat (g) Calories Item Cost ($) Beef Patty 50 $0.25 $0.15 17 220 Bun 330 260 Cheese 310 6. 70 $0.10 Onions 1 2. 10 $0.09 Pickles 260 $0.03 Lettuce 3. 0% 4 $0.04 Ketchup 160 20 S0.02 Tomato 6. $0.04 Requirements: mmurt includo atloart ono of oach itom and no more than six ofeach ite Fonch shit e 5. 3.
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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,