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Homework answers / question archive / QUESTIONS 5 - 8 refer to the LP model below

QUESTIONS 5 - 8 refer to the LP model below

Math

QUESTIONS 5 - 8 refer to the LP model below. 

 

The Claxton Bakery makes four different products with pecans as the main ingredient: Pecan Cluster (C), Pecan Log (L), Pecan Turtle (T), and Roasted Pecan Pieces (P). Although demand is high for all four products, the primary issue is that raw material costs are increasing making it more difficult to keep margins under control.  

 

Claxton Bakery is sure it will sell every product it makes. To meet next week's demand, Claxton must produce at least 1,000 lbs. of Clusters, no fewer than 400 but not more than 500 lbs. of Logs, at least 150 lbs. of Turtles, and at least 200 lbs. of Pieces. The only two ingredients are pecans and caramel. Clusters are 60% pecans by weight, while the figures for Logs, Turtles, and Pieces are 40%, 20%, and 100%, respectively. Remaining weight is in caramel. The company has 1,100 lbs. of pecans and 800 lbs. of caramel. Production include roasting, molding, coating, and packaging with 60 hours available for each process

 

7. The caramel constraint is

a. 0.40C + 0.60L + 0.80T + 0.00P ≤ 800

b. 0.40C + 0.60L + 0.80T + 0.00P = 800

c. 0.60C + 0.40L + 0.20T + 1.00P ≤ 800

d. 0.60C + 0.40L + 0.20T + 1.00P = 800 

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