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Problem #3 - Jasper Inc. has an air conditioning manufacturing facility in Lakeland - FL for air conditioning SKUS: J101 and J104. The assembly process for each SKU is similar and both require a certain number of hours in the Assembly Department and in the Finishing Department. As a business consultant, Jasper Inc. asked you to apply Linear Programming (LP) to determine the combination for the number of SKUS J101 and J104 to assemble in every month to maximize its revenue when its facility and business operate under the following conditions: Each SKU J101 takes 4.5 hours in the Assembly Department and 2.5 hours in the Finishing Department. Each SKU J104 takes 3.5 hours in the Assembly Department and 1.5 hour in the Finishing Department. The Assembly Department has 241 hours available in the current production period, while the Finishing Department has 101 hours available. Each SKU J101 is sold for $450. Each SKU J104 is sold for $380. Answer the following questions: a. - Identify and describe the decision variables for this LP problem. b. Mathematically state and explain the Objective Function for this LP problem. - Mathematically state and explain all constraints for this LP problem. Apply a graphical method and solve this LP problem. Show all graphs necessary to solve this LP problem. - Determine the Slack or Surplus of every resource available and explain the meaning of the calculated C. d. e. Slack and Surplus. If the minimum number of SKU J101 required to be assembled per month is 10 units, mathematically state this new constraint, apply a graphical Method, solve the LP problem once this new constraint is included and show all graphs necessary to solve this LP problem. Determine the Slack or Surplus of every resource available and explain the meaning of the calculated Slack and Surplus.

Problem #3 - Jasper Inc. has an air conditioning manufacturing facility in Lakeland - FL for air conditioning SKUS: J101 and J104. The assembly process for each SKU is similar and both require a certain number of hours in the Assembly Department and in the Finishing Department. As a business consultant, Jasper Inc. asked you to apply Linear Programming (LP) to determine the combination for the number of SKUS J101 and J104 to assemble in every month to maximize its revenue when its facility and business operate under the following conditions: Each SKU J101 takes 4.5 hours in the Assembly Department and 2.5 hours in the Finishing Department. Each SKU J104 takes 3.5 hours in the Assembly Department and 1.5 hour in the Finishing Department. The Assembly Department has 241 hours available in the current production period, while the Finishing Department has 101 hours available. Each SKU J101 is sold for $450. Each SKU J104 is sold for $380. Answer the following questions: a. - Identify and describe the decision variables for this LP problem. b. Mathematically state and explain the Objective Function for this LP problem. - Mathematically state and explain all constraints for this LP problem. Apply a graphical method and solve this LP problem. Show all graphs necessary to solve this LP problem. - Determine the Slack or Surplus of every resource available and explain the meaning of the calculated C. d. e. Slack and Surplus. If the minimum number of SKU J101 required to be assembled per month is 10 units, mathematically state this new constraint, apply a graphical Method, solve the LP problem once this new constraint is included and show all graphs necessary to solve this LP problem. Determine the Slack or Surplus of every resource available and explain the meaning of the calculated Slack and Surplus.

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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Problem #3 

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Problem #3 – Jasper Inc. has an air conditioning manufacturing facility in Lakeland – FL for air conditioning SKUS: J101 and J104. The assembly process for each SKU is similar and both require a certain number of hours in the Assembly Department and in the Finishing Department. As a business consultant, Jasper Inc. asked you to apply Linear Programming (LP) to determine the combination for the number of SKUS J101 and J104 to assemble in every month to maximize its revenue when its facility and business operate under the following conditions: Each SKU J101 takes 4.5 hours in the Assembly Department and 2.5 hours in the Finishing Department. Each SKU J104 takes 3.5 hours in the Assembly Department and 1.5 hour in the Finishing Department. The Assembly Department has 241 hours available in the current production period, while the Finishing Department has 101 hours available. Each SKU J101 is sold for $450. Each SKU J104 is sold for $380. Answer the following questions: - Identify and describe the decision variables for this LP problem. a. b. Mathematically state and explain the Objective Function for this LP problem. Mathematically state and explain all constraints for this LP problem. Apply a graphical method and solve this LP problem. Show all graphs necessary to solve this LP problem. С. d. е. - Determine the Slack or Surplus of every resource available and explain the meaning of the calculated Slack and Surplus. f. If the minimum number of SKU J101 required to be assembled per month is 10 units, mathematically state this new constraint, apply a graphical Method, solve the LP problem once this new constraint is included and show all graphs necessary to solve this LP problem. Determine the Slack or Surplus of every resource available and explain the meaning of the calculated Slack and Surplus.
Transcribed Image Text:Problem #3 – Jasper Inc. has an air conditioning manufacturing facility in Lakeland – FL for air conditioning SKUS: J101 and J104. The assembly process for each SKU is similar and both require a certain number of hours in the Assembly Department and in the Finishing Department. As a business consultant, Jasper Inc. asked you to apply Linear Programming (LP) to determine the combination for the number of SKUS J101 and J104 to assemble in every month to maximize its revenue when its facility and business operate under the following conditions: Each SKU J101 takes 4.5 hours in the Assembly Department and 2.5 hours in the Finishing Department. Each SKU J104 takes 3.5 hours in the Assembly Department and 1.5 hour in the Finishing Department. The Assembly Department has 241 hours available in the current production period, while the Finishing Department has 101 hours available. Each SKU J101 is sold for $450. Each SKU J104 is sold for $380. Answer the following questions: - Identify and describe the decision variables for this LP problem. a. b. Mathematically state and explain the Objective Function for this LP problem. Mathematically state and explain all constraints for this LP problem. Apply a graphical method and solve this LP problem. Show all graphs necessary to solve this LP problem. С. d. е. - Determine the Slack or Surplus of every resource available and explain the meaning of the calculated Slack and Surplus. f. If the minimum number of SKU J101 required to be assembled per month is 10 units, mathematically state this new constraint, apply a graphical Method, solve the LP problem once this new constraint is included and show all graphs necessary to solve this LP problem. Determine the Slack or Surplus of every resource available and explain the meaning of the calculated Slack and Surplus.
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