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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?

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?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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49,50,51
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. x ≥ 40 A) y ≥30 2x+3y ≤450 x 230 B) y 240 (x+y≤450 -80- 70- -60- -50- -40- -30- 20- 10- x240 C) y ≥30 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 -10 0 10 Using the graph of the feasible region, evaluate the objective function with each vertex. -1-10+ 46. (40, 30) 100- 47. (40,90) -90- 48. (130, 30) (40+90) (40+30) 49. What is the maximum profit? 50. How many chocolate cakes should the bakery make to maximize profit? 2x+3y 2450 51. How many strawberry cakes should the bakery make to maximize profit? x≥30 D) y ≥40 25x+35y 2450 A) 25 D) 40 AC) 1975 BC) 2170 GR) 100r Choices for 46-51: (130, 30) 100 110 120 130 140 150 160 B) 30 E) 90 AD) 2025 BD) 4000 CEL 200 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. x ≥ 40 A) y ≥30 2x+3y ≤450 x 230 B) y 240 (x+y≤450 -80- 70- -60- -50- -40- -30- 20- 10- x240 C) y ≥30 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 -10 0 10 Using the graph of the feasible region, evaluate the objective function with each vertex. -1-10+ 46. (40, 30) 100- 47. (40,90) -90- 48. (130, 30) (40+90) (40+30) 49. What is the maximum profit? 50. How many chocolate cakes should the bakery make to maximize profit? 2x+3y 2450 51. How many strawberry cakes should the bakery make to maximize profit? x≥30 D) y ≥40 25x+35y 2450 A) 25 D) 40 AC) 1975 BC) 2170 GR) 100r Choices for 46-51: (130, 30) 100 110 120 130 140 150 160 B) 30 E) 90 AD) 2025 BD) 4000 CEL 200 C) 35 AB) 130 AE) 2050 BE) 4150 DE) 4375
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