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Mathematics Clinic => Calculus => Topic started by: jake on Jun 18, 2018

Title: A store makes two different types of smoothies by blending different fruit juices. Each bottle of ...
Post by: jake on Jun 18, 2018

A store makes two different types of smoothies by blending different fruit juices. Each bottle of Orange Daze smoothie contains 10 fluid ounces of orange juice, 4 fluid ounces of pineapple juice, and 2 fluid ounces of blueberry juice.
 
  Each bottle of Pineapple Blue smoothie contains 5 fluid ounces of orange juice, 6 fluid ounces of pineapple juice, and 4 fluid ounces of blueberry juice. The store has 500 fluid ounces of orange juice, 360 fluid ounces of pineapple juice, and 250 fluid ounces of blueberry juice available to put into its smoothies. The store makes a profit of 1.50 on each bottle of Orange Daze and 1 on each bottle of Pineapple Blue. How many bottles of each smoothie should the store make to maximize its profit? What is the maximum profit?
  A) Maximum profit is 87.50 when the store makes 35 bottles of Orange Daze and 35 bottles of Pineapple Blue.
  B) Maximum profit is 85 when the store makes 30 bottles of Orange Daze and 40 bottles of Pineapple Blue.
  C) Maximum profit is 80 when the store makes 40 bottles of Orange Daze and 20 bottles of Pineapple Blue.
  D) Maximum profit is 75 when the store makes 50 bottles of Orange Daze and 0 bottles of Pineapple Blue.

Question 2

Alan wants to invest a total of 6000 in mutual funds and a certificate of deposit (CD). He wants to invest no more in mutual funds than half the amount he invests in the CD. His expected return on mutual funds is 9 and on the CD is 4.
 
  How much money should Alan invest in each area in order to have the largest return on his investments? What is his maximum one-year return?
  A) Maximum one-year return is 240 when he invests 0 in mutual funds and 6000 in the CD.
  B) Maximum one-year return is 540 when he invests 6000 in mutual funds and 0 in the CD.
  C) Maximum one-year return is 440 when he invests 4000 in mutual funds and 2000 in the CD.
  D) Maximum one-year return is 340 when he invests 2000 in mutual funds and 4000 in the CD.

Title: A store makes two different types of smoothies by blending different fruit juices. Each bottle of ...
Post by: honnalora on Jun 18, 2018

Answer to Question 1

B

Answer to Question 2

D