Chrissy is a health and fitness coach. She wants to create a nutritional supplement, which meets the required daily dose of key nutrients at the lowest cost. Her goal is to sell this blend to her own clients to ensure that their nutritional needs are met in the most efficient manner possible. She decides to combine three different protein powders in order to create her own blend. The price of Type A Protein Powder is $25 per pound and it contains 42 gms of protein, 20 gms of carbohydrates and 10 gms of fat per serving. The price of Type B Protein Powder is $10 per pound and it contains 12 gms of protein, 20 gms of carbohydrates and 5 gms of fat per serving. The price of Type C Protein Powder is $8 per pound and it contains 4 gms of protein, 2 gms of carbohydrates and 10 gms of fat per serving. Each pound of any protein powder is equivalent to 12 servings. Chrissy runs a cost minimization linear program and identifies that her blend would need to meet her own minimum requirements of 50 gms of protein, 40 gms of carbohydrates, and 30 gms of fat per serving. Her sensitivity report is given here.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Can someone help me with the solution to this problem. Please show me how you use the solver function in excel in order to determine the answer. Thank you

 

Chrissy is a health and fitness coach. She wants to create a nutritional supplement, which meets the required daily dose of key nutrients at the lowest cost. Her goal is to sell this blend to her own clients to ensure that their nutritional needs are met in the most efficient manner possible. She decides to combine three different protein powders in order to create her own blend. The price of Type A Protein Powder is $25 per pound and it contains 42 gms of protein, 20 gms of carbohydrates and 10 gms of fat per serving. The price of Type B Protein Powder is $10 per pound and it contains 12 gms of protein, 20 gms of carbohydrates and 5 gms of fat per serving. The price of Type C Protein Powder is $8 per pound and it contains 4 gms of protein, 2 gms of carbohydrates and 10 gms of fat per servingEach pound of any protein powder is equivalent to 12 servings. Chrissy runs a cost minimization linear program and identifies that her blend would need to meet her own minimum requirements of 50 gms of protein, 40 gms of carbohydrates, and 30 gms of fat per serving. Her sensitivity report is given here. 

Microsoft Excel 16.0 Sensitivity Report
Variable Cells
Final
Reduced Objective Allowable Allowable
Name
Value
CostCoefficient
Increase Decrease
A
0.705
25
5.80
11.32
В
1.122
10
11.94
1.53
C
1.734
8
6.44
5.60
Constraints
Final
Shadow Constraint Allowable Allowable
Name
Value
Price R.H. Side
Increase Decrease
Protein
600
0.033
600
405.33
241.26
LHS
Carbs LHS
480
0.009
480
458.40
192.00
Fat LHS
360
0.052
360
818.57
188.00
Fill in the following blanks based on the Sensitivity Report
a. The optimal solution that Chrissy obtained shows a blend of
Ibs of Type A,
Ibs. of Type B and
Ibs. of Type C Protein Powders.
b. The total minimum cost for Chrissy's Blend is $
c. The total minimum cost PER LB of Chrissy's Blend is $
Transcribed Image Text:Microsoft Excel 16.0 Sensitivity Report Variable Cells Final Reduced Objective Allowable Allowable Name Value CostCoefficient Increase Decrease A 0.705 25 5.80 11.32 В 1.122 10 11.94 1.53 C 1.734 8 6.44 5.60 Constraints Final Shadow Constraint Allowable Allowable Name Value Price R.H. Side Increase Decrease Protein 600 0.033 600 405.33 241.26 LHS Carbs LHS 480 0.009 480 458.40 192.00 Fat LHS 360 0.052 360 818.57 188.00 Fill in the following blanks based on the Sensitivity Report a. The optimal solution that Chrissy obtained shows a blend of Ibs of Type A, Ibs. of Type B and Ibs. of Type C Protein Powders. b. The total minimum cost for Chrissy's Blend is $ c. The total minimum cost PER LB of Chrissy's Blend is $
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