Tyler bakes Cookies (C) and Breads (B) with the help of two ovens in his little bakery. The time taken by Oven A to bake each cookie batch is 14 minutes and the time taken by Oven B is 12 minutes. The time taken by Oven A to bake a batch of bread is 16 minutes and the time taken by Oven B is 17 minutes. Each week both Ovens can be used for 25 hours each to bake Cookies and Breads. The rest of the time is used for baking other products. Moreover, Tyler starts the next week with a stock of 25 batches of Cookies and 30 batches of Breads. There is a minimum weekly demand of 70 batches of Cookies and 50 batches of Breads. For each batch of Cookies, Tyler makes $15 in revenue and for each batch of Breads Tyler makes $20 in revenue. How should Tyler plan his production to maximize his revenue while meeting his weekly demand and adding to his stock for the following week? To help you guys out, I am giving you the Linear Program equations here. Using the Solver, find the solution and answer the questions given below. Objective: Maximize Revenue 15C + 20B s.t. constraints: Oven A available: 14C + 16B <= 1500 minutes Oven B available: 12C + 17B <= 1500 minutes Min Cookies required: C >= 70 – 25 (weekly demand – stock available) Breads required: B >= 50 – 30 (weekly demand – stock available) Non-negativity: C, B >= 0 Integer: C, B are both integers Tyler needs to produce ________batches of Cookies and batches of Breads to achieve a maximized revenue of $. If the revenue from Breads was reduced to $15 instead of $20, Tyler would need to produce _batches of Cookies and batches of Breads to achieve a maximized revenue of $ ______.

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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Chapter 8. Tyler bakes Cookies (C) and Breads (B) with the help of two ovens in his little bakery. The time taken by Oven A to bake each cookie batch is 14 minutes and the time taken by Oven B is 12 minutes. The time taken by Oven A to bake a batch of bread is 16 minutes and the time taken by Oven B is 17 minutes. Each week both Ovens can be used for 25 hours each to bake Cookies and Breads. The rest of the time is used for baking other products. Moreover, Tyler starts the next week with a stock of 25 batches of Cookies and 30 batches of Breads. There is a minimum weekly demand of 70 batches of Cookies and 50 batches of Breads. For each batch of Cookies, Tyler makes $15 in revenue and for each batch of Breads Tyler makes $20 in revenue. How should Tyler plan his production to maximize his revenue while meeting his weekly demand and adding to his stock for the following week? To help you guys out, I am giving you the Linear Program equations here. Using the Solver, find the solution and answer the questions given below.

Objective: Maximize Revenue 15C + 20B

s.t. constraints:

Oven A available: 14C + 16B <= 1500 minutes
Oven B available: 12C + 17B <= 1500 minutes
Min Cookies required: C >= 70 – 25 (weekly demand – stock available)
Breads required: B >= 50 – 30 (weekly demand – stock available)
Non-negativity: C, B >= 0
Integer: C, B are both integers
1. Tyler needs to produce ______________batches of Cookies and ____________batches of Breads to achieve a maximized revenue of $____________.
2. If the revenue from Breads was reduced to $15 instead of $20, Tyler would need to produce ___________batches of Cookies ____________and __________batches of Breads to achieve a maximized revenue of $ ____________.

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