Problem #3 - Jasper Inc. has an air conditioning manufacturing facility in Lakeland - FL for air conditioning SKUs: J101and J104. The assembly process for each SKU is similar and both require a certain number of hours in the AssemblyDepartment and in the Finishing Department.As a business consultant, Jasper Inc. asked you to apply Linear Programming (LP) to determine the combination for thenumber of SKUs J101 and J104 to assemble in every month to maximize its revenue when its facility and business operateunder the following conditions:●Each SKU J101 takes 4 hours in the Assembly Department and 2 hours in the Finishing Department.●Each SKU J104 takes 3 hours in the Assembly Department and 1 hour in the Finishing Department.●The Assembly Department has 235 hours available in the current production period, while the Finishing Departmenthas 95 hours available.●Each SKU J101 is sold for $400.Each SKU J104 is sold for $300.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.C.05 POINT-Mathematically state and explain all constraints for this LP problem.d.-Apply a graphical method and solve this LP problem. Show all graphs necessary to solve this LP problem.e.- Determine the Slack or Surplus of every resource available and explain the meaning of the calculatedSlack or Surplus.f.-If the minimum number of SKU J101 required to be assembled per month is 10 units, mathematicallystate this new constraint, apply a graphical method, solve the new LP problem and show all graphs necessary to solveit.J104Step 1.J1010803245Assembly hoursHinishing hours195400600b). Let J101 bexLet J104 by YMaximum Z=400x + 5000c) Subject to:4x + 3y <=2352x +1y <=95d)Page 5 of 8

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Practical Management Science

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5. Meg Jones, the CEO of Ajax Computer Company, and Brad Smith, its Director of Operations, had been discussing how to increase the firm’s production of the company’s flagship XR58. The XR58 was particularly important because it sold 12,500 of them in the most recent year for $950, at a gross margin of 55%. After a lot of discussion, they decided to pursue an incentive system designed to increase production by 12% in the next year. After Brad discussed this possible incentive with the production team, the team determined that it could increase production by this amount without adding any more people or equipment. They believed they could accomplish this improvement primarily through process redesign. To incent them to do the hard work of process improvement, Brad told the team that it would receive 25% of the increased profits if it met the new production goal. For this team of 20 people, this would mean an additional compensation of _________ for each team member, on average, for…
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نن فم a. - Identify and describe the decision variables for this LP problem. -Mathematically state and explain the Objective Function for this LP problem. state and explain all constraints for this LP problem. -Apply a graphical mothe b. c. 5 POINT-Mathematically d.