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1. Tasty Bakery bakes and sells chocolate chip muffins and chocolate chip cookies. Each batch of muffins requires 3 pounds of flour and 2 pounds of chocolate chips. Each batch of cookies requires 2 pounds of flour and 1 pound of chocolate chips. Each day, the bakery has 60 pounds of flour and 36 pounds of chocolate chips on hand. The bakery has determined that it can make a profit of $12 on each batch of muffins and a profit of $10 per batch of cookies. a) Complete the following mixture chart. Flour Chocolate Chips Profit Muffins (x) Cookies (y) Totals b) Use the mixture chart to write down the profit formula and the resource constraints. c) Use the intercepts to graph the line corresponding to each constraint. d) Use a test point to determine which side of each line is in the feasible region. Shade the feasible region. e) Find the corner points of the feasible region. f) Evaluate the profit formula for each of the corner points. g) How many batches of muffins and how many batches of cookies should be baked per day in order to maximize profit? What is the maximum profit?

1. Tasty Bakery bakes and sells chocolate chip muffins and chocolate chip cookies. Each batch of muffins requires 3 pounds of flour and 2 pounds of chocolate chips. Each batch of cookies requires 2 pounds of flour and 1 pound of chocolate chips. Each day, the bakery has 60 pounds of flour and 36 pounds of chocolate chips on hand. The bakery has determined that it can make a profit of $12 on each batch of muffins and a profit of $10 per batch of cookies. a) Complete the following mixture chart. Flour Chocolate Chips Profit Muffins (x) Cookies (y) Totals b) Use the mixture chart to write down the profit formula and the resource constraints. c) Use the intercepts to graph the line corresponding to each constraint. d) Use a test point to determine which side of each line is in the feasible region. Shade the feasible region. e) Find the corner points of the feasible region. f) Evaluate the profit formula for each of the corner points. g) How many batches of muffins and how many batches of cookies should be baked per day in order to maximize profit? What is the maximum profit?

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter10: Systems Of Equations And Inequalities
Section10.FOM: Focus On Modeling: Linear Programming
Problem 9P: Shipping TelevisionsAn electronics discount chain has a sale on certain brand of 60-in....
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1. Tasty Bakery bakes and sells chocolate chip muffins and chocolate chip cookies. Each batch of muffins requires 3 pounds of flour and 2 pounds of chocolate chips. Each batch of cookies requires 2 pounds of flour and 1 pound of chocolate chips. Each day, the bakery has 60 pounds of flour and 36 pounds of chocolate chips on hand. The bakery has determined that it can make a profit of $12 on each batch of muffins and a profit of $10 per batch of cookies. a) Complete the following mixture chart. Flour Chocolate Chips Profit Muffins (x) Cookies (y) Totals b) Use the mixture chart to write down the profit formula and the resource constraints. c) Use the intercepts to graph the line corresponding to each co d) Use a test point to determine which side of each line is in the feasible region. Shade the feasible region. e) Find the corner points of the feasible region. f) Evaluate the profit formula for each of the corner points. g) How many batches of muffins and how many batches of cookies should be baked per day in order to maximize profit? What is the maximum profit? raint.
Transcribed Image Text:1. Tasty Bakery bakes and sells chocolate chip muffins and chocolate chip cookies. Each batch of muffins requires 3 pounds of flour and 2 pounds of chocolate chips. Each batch of cookies requires 2 pounds of flour and 1 pound of chocolate chips. Each day, the bakery has 60 pounds of flour and 36 pounds of chocolate chips on hand. The bakery has determined that it can make a profit of $12 on each batch of muffins and a profit of $10 per batch of cookies. a) Complete the following mixture chart. Flour Chocolate Chips Profit Muffins (x) Cookies (y) Totals b) Use the mixture chart to write down the profit formula and the resource constraints. c) Use the intercepts to graph the line corresponding to each co d) Use a test point to determine which side of each line is in the feasible region. Shade the feasible region. e) Find the corner points of the feasible region. f) Evaluate the profit formula for each of the corner points. g) How many batches of muffins and how many batches of cookies should be baked per day in order to maximize profit? What is the maximum profit? raint.
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