Question: Slixtrix Conversions, located in Waldo, Florida specializes in conversions of pick-up trucks and vans. In particular, they do a very good business in their signature

Slixtrix Conversions, located in Waldo, Florida specializes in conversions of pick-up trucks and vans. In particular, they do a very good business in their signature line of each.

The business has three production shops which, using good project scheduling skills, work on the vehicles simultaneously. The shops are preparation, upholstery, and electric/electronics. The company nets $5000 for each truck and $6000 for each van produced and sold. The work requirements for each, in hours, and personnel available are given in the table below. Personnel work 8 hours per day, five days per week on the conversions.

The company has standing orders for 12 trucks and 10 vans per week, and is able to obtain parts for only 20 vans per week.

Required
a. How many trucks and vans should they produce each week to maximize profit and remain within the stated bounds?
b. What shops or other constraints determine the optimum solution.
c. Are any shops over staffed? If so whichones?

shop trucks personnel vans preparation 12 upholstery electrical 10 12 16 12

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