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Using the graph of the feasible region, evaluate the objective function with each vertex. +110+ 46. (40, 30) 100 47. (40,90) -90- -80- 48. (130, 30) +70+ -60- -50+ -40- -30 -20 -10- (40190) (40,30) (130,30) -10 0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160

Using the graph of the feasible region, evaluate the objective function with each vertex. +110+ 46. (40, 30) 100 47. (40,90) -90- -80- 48. (130, 30) +70+ -60- -50+ -40- -30 -20 -10- (40190) (40,30) (130,30) -10 0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter3: Solving Equation And Problems
Section3.7: Costs, Income, And Value Problems
Problem 18P
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46,47,48
A bakery makes two types of birthday cakes: chocolate cake which sells for $25, and strawberry cake which sells for $35. Each chocolate cake takes 2 hours to make while the strawberry cake takes 3 hours to make. There is a maximum of 450 hours available to make the cakes. The owner of the bakery requires the bakery to make at least 40 chocolate cakes and at least 30 strawberry cakes. Let x represent the number of chocolate cakes and y represent the number of strawberry cakes. 44. Write a system of linear inequalities for the constraints. x240 A) y 230 2x+3y ≤450 x ≥30 B) y ≥40 x+y≤450 -100 45. Write the objective function which is the profit function, P. A) P = 2x+3y B) P=2x+3y + 450 C) P=25x+35y D) P=25x+35y-450 -90- -80- -70- -60- -50- -40- -30- -20- 10 x240 C) y ≥30 Using the graph of the feasible region, evaluate the objective function with each vertex. 110+ 46. (40, 30) 47. (40,90) 48. (130, 30) (40190) (40-30) 2x+3y ≥ 450 49. What is the maximum profit? 50. How many chocolate cakes should the bakery make to maximize profit? 51. How many strawberry cakes should the bakery make to maximize profit? x≥30 D) y ≥40 25x+35y 2450 -10 0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 Choices for 46-51: A) 25 D) 40 AC) 1975 BC) 2170 CD) 4205 (130, 30) B) 30 E) 90 AD) 2025 BD) 4000 CE) 4300 C) 35 AB) 130 AE) 2050 BE) 4150 DE) 4375
Transcribed Image Text:A bakery makes two types of birthday cakes: chocolate cake which sells for $25, and strawberry cake which sells for $35. Each chocolate cake takes 2 hours to make while the strawberry cake takes 3 hours to make. There is a maximum of 450 hours available to make the cakes. The owner of the bakery requires the bakery to make at least 40 chocolate cakes and at least 30 strawberry cakes. Let x represent the number of chocolate cakes and y represent the number of strawberry cakes. 44. Write a system of linear inequalities for the constraints. x240 A) y 230 2x+3y ≤450 x ≥30 B) y ≥40 x+y≤450 -100 45. Write the objective function which is the profit function, P. A) P = 2x+3y B) P=2x+3y + 450 C) P=25x+35y D) P=25x+35y-450 -90- -80- -70- -60- -50- -40- -30- -20- 10 x240 C) y ≥30 Using the graph of the feasible region, evaluate the objective function with each vertex. 110+ 46. (40, 30) 47. (40,90) 48. (130, 30) (40190) (40-30) 2x+3y ≥ 450 49. What is the maximum profit? 50. How many chocolate cakes should the bakery make to maximize profit? 51. How many strawberry cakes should the bakery make to maximize profit? x≥30 D) y ≥40 25x+35y 2450 -10 0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 Choices for 46-51: A) 25 D) 40 AC) 1975 BC) 2170 CD) 4205 (130, 30) B) 30 E) 90 AD) 2025 BD) 4000 CE) 4300 C) 35 AB) 130 AE) 2050 BE) 4150 DE) 4375
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