49,50,51 A bakery makes two types of birthday cakes: chocolate cake which sells for $25, andstrawberry cake which sells for $35. Each chocolate cake takes 2 hours to make while thestrawberry cake takes 3 hours to make. There is a maximum of 450 hours available to makethe cakes. The owner of the bakery requires the bakery to make at least 40 chocolate cakesand 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 ≥ 40A) y ≥302x+3y ≤450x 230B) y 240(x+y≤450-80-70--60--50--40--30-20-10-x240C) y ≥3045. 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 10Using 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 bakerymake to maximize profit?2x+3y 245051. How many strawberry cakes should the bakerymake to maximize profit?x≥30D) y ≥4025x+35y 2450A) 25D) 40AC) 1975BC) 2170GR) 100rChoices for 46-51:(130, 30)100 110 120 130 140 150 160B) 30E) 90AD) 2025BD) 4000CEL 200C) 35AB) 130AE) 2050BE) 4150DE) 4375

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Answered: 49. What is the maximum profit? 50. How…

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter12: Algebra Of Matrices

Section12.CM: Cumulative Review Problem Set

Problem 113CM

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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?