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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. Microsoft Excel 16.0 Sensitivity Report Variable Cells Final Reduced Objective Allowable Allowable Name Value CostCoefficient Increase Decrease А 0.705 25 5.80 11.32 В 1.122 10 11.94 1.53 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 Based on the report, answer the following question:

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. Microsoft Excel 16.0 Sensitivity Report Variable Cells Final Reduced Objective Allowable Allowable Name Value CostCoefficient Increase Decrease А 0.705 25 5.80 11.32 В 1.122 10 11.94 1.53 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 Based on the report, answer the following question:

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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I need some help on the following problem. Please show the objective function as well as the subject to contraints. As this question require those. 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 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. 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 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 Based on the report, answer the following question: Write out the Linear Program (equations) that Chrissy might have used to obtain this solution. DO NOT refer me to "see the excel file"
Transcribed Image Text: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. 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 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 Based on the report, answer the following question: Write out the Linear Program (equations) that Chrissy might have used to obtain this solution. DO NOT refer me to "see the excel file"
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