A donut shop makes 2 kinds of donuts: fried and baked. Each donut requires flour, sugar, and time (labor) to make. Each fried donut takes 0.5 cups of flour, 0.1 cups of sugar, 15 minutes to make and sell for $1. Each baked donut  requires 0.3 cups of flour, 0.15 cups of sugar, 36 minutes to make and sell for $1.75. The shop has 90 cups of flour, 30 cups of sugar, and 90 hours of labor each week.   (A) make a table below with the values above. (B) let x be the number of fried donuts made each week and y be the number of baked donuts made each week. Using the table above, write 3 inequalities that x and y satisfy due to the availability of supplies (c) give any restrictions on x and y as inequalities If necessary. (d) write an expression for the total amount of money the shop makes by selling x fried donuts and y baked donuts. (e) graph the feasible set for the donut shop

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter5: Linear Inequalities
Section5.6: Graphing Ineualities In Two Variables
Problem 29PPS
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A donut shop makes 2 kinds of donuts: fried and baked. Each donut requires flour, sugar, and time (labor) to make. Each fried donut takes 0.5 cups of flour, 0.1 cups of sugar, 15 minutes to make and sell for $1. Each baked donut  requires 0.3 cups of flour, 0.15 cups of sugar, 36 minutes to make and sell for $1.75. The shop has 90 cups of flour, 30 cups of sugar, and 90 hours of labor each week.

 

(A) make a table below with the values above.

(B) let x be the number of fried donuts made each week and y be the number of baked donuts made each week. Using the table above, write 3 inequalities that x and y satisfy due to the availability of supplies

(c) give any restrictions on x and y as inequalities If necessary.

(d) write an expression for the total amount of money the shop makes by selling x fried donuts and y baked donuts.

(e) graph the feasible set for the donut shop 

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