Answer the following questions based on the following Sensitivity Report. Microsoft Excel Sensitivity Report Adjustable Cells Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease $B$19 Acres to Plant Watermelons 60 256 28.5 66.33333333 $C$19 Acres to Plant Cantaloupes 40 284.5 99.5 28.5 Constraints Final Shadow Constraint Allowable Allowable Cell Name Value Price R.H. Side Increase Decrease SF$11 Water Used per hour) 6,000 1 6000 1500 1000 SF$19 Acres Planted per hour) 100 199 100 20 20 1. How much can the price of watermelons drop before it isn't optimal to plant any watermelons? (round to 2 decimal places) 2. How much does the price of cantaloupes have to increase before it is optimal to only grow cantaloupes? (round to 2 decimal places)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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## Microsoft Excel Sensitivity Report

### Adjustable Cells

| Cell   | Name                     | Final Value | Reduced Cost | Objective Coefficient | Allowable Increase | Allowable Decrease |
|--------|--------------------------|-------------|--------------|----------------------|-------------------|-------------------|
| $B$19  | Acres to Plant Watermelons | 60          | 0            | 256                  | 28.5              | 66.33             |
| $C$19  | Acres to Plant Cantaloupes | 40          | 0            | 284.5                | 99.5              | 28.5              |

### Constraints

| Cell   | Name                  | Final Value | Shadow Price | Constraint R.H. Side | Allowable Increase | Allowable Decrease |
|--------|--------------------------|-------------|--------------|----------------------|-------------------|-------------------|
| $F$11  | Water Used per hour      | 6,000       | 1            | 6,000                | 1,500             | 1,000             |
| $F$19  | Acres Planted per hour   | 100         | 199          | 100                  | 20                | 20                |

### Questions

1. **How much can the price of watermelons drop before it isn't optimal to plant any watermelons?** (round to 2 decimal places)

2. **How much does the price of cantaloupes have to increase before it is optimal to only grow cantaloupes?** (round to 2 decimal places)
Transcribed Image Text:## Microsoft Excel Sensitivity Report ### Adjustable Cells | Cell | Name | Final Value | Reduced Cost | Objective Coefficient | Allowable Increase | Allowable Decrease | |--------|--------------------------|-------------|--------------|----------------------|-------------------|-------------------| | $B$19 | Acres to Plant Watermelons | 60 | 0 | 256 | 28.5 | 66.33 | | $C$19 | Acres to Plant Cantaloupes | 40 | 0 | 284.5 | 99.5 | 28.5 | ### Constraints | Cell | Name | Final Value | Shadow Price | Constraint R.H. Side | Allowable Increase | Allowable Decrease | |--------|--------------------------|-------------|--------------|----------------------|-------------------|-------------------| | $F$11 | Water Used per hour | 6,000 | 1 | 6,000 | 1,500 | 1,000 | | $F$19 | Acres Planted per hour | 100 | 199 | 100 | 20 | 20 | ### Questions 1. **How much can the price of watermelons drop before it isn't optimal to plant any watermelons?** (round to 2 decimal places) 2. **How much does the price of cantaloupes have to increase before it is optimal to only grow cantaloupes?** (round to 2 decimal places)
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