A company makes three types of candy and packages them in three assortments Assortment I contains 4 cherry, 4 lemon, and 12 lime candies, and sells for a profit of $4.00. Assortment Il contains 12 cherry, 4 lemon, and 4 lime candies, and sells for a profit of $3.00. Assortment III contains 8 cherry, 8 lemon, and 8 lime candies, and sells for a profit of $5.00. They can make 5,200 cherry, 4,000 lemon, and 6,000 lime candies weekly. How many boxes of each type should the company produce each week in order to maximize its profit (assuming that all boxes produced can be sold)? What is the maximum profit? Select the correct choice below and fill in any answer boxes within your choice. OA. The maximum profit is $ when boxes of assortment 1. boxes of assortment II and assortment III are produced. OB. There is no way for the company to maximize its profit boxes of

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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### Problem Statement

A company makes three types of candy and packages them in three assortments. The details of the assortments are:

1. **Assortment I:** Contains 4 cherry candies, 4 lemon candies, and 12 lime candies. Sells for a profit of $4.00.
2. **Assortment II:** Contains 12 cherry candies, 4 lemon candies, and 4 lime candies. Sells for a profit of $3.00.
3. **Assortment III:** Contains 8 cherry candies, 8 lemon candies, and 8 lime candies. Sells for a profit of $5.00.

The company can produce the following quantities of each type of candy weekly:
- Cherry candies: 5,200
- Lemon candies: 4,000
- Lime candies: 6,000

**Objective:** Determine how many boxes of each assortment the company should produce each week in order to maximize its profit, assuming all boxes produced can be sold. What is the maximum profit?

---

### Solution Choices

Select the correct choice below and fill in any answer boxes within your choice.

#### Options:

- **A.** The maximum profit is $ \( \_\_\_ \) when \( \_\_\_ \) boxes of assortment I, \( \_\_\_ \) boxes of assortment II, and \( \_\_\_ \) boxes of assortment III are produced.
  
- **B.** There is no way for the company to maximize its profit.
Transcribed Image Text:### Problem Statement A company makes three types of candy and packages them in three assortments. The details of the assortments are: 1. **Assortment I:** Contains 4 cherry candies, 4 lemon candies, and 12 lime candies. Sells for a profit of $4.00. 2. **Assortment II:** Contains 12 cherry candies, 4 lemon candies, and 4 lime candies. Sells for a profit of $3.00. 3. **Assortment III:** Contains 8 cherry candies, 8 lemon candies, and 8 lime candies. Sells for a profit of $5.00. The company can produce the following quantities of each type of candy weekly: - Cherry candies: 5,200 - Lemon candies: 4,000 - Lime candies: 6,000 **Objective:** Determine how many boxes of each assortment the company should produce each week in order to maximize its profit, assuming all boxes produced can be sold. What is the maximum profit? --- ### Solution Choices Select the correct choice below and fill in any answer boxes within your choice. #### Options: - **A.** The maximum profit is $ \( \_\_\_ \) when \( \_\_\_ \) boxes of assortment I, \( \_\_\_ \) boxes of assortment II, and \( \_\_\_ \) boxes of assortment III are produced. - **B.** There is no way for the company to maximize its profit.
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