9. Slixtrix Conversions, located in Waldo, Florida specializes in conversions of
ID: 403303 • Letter: 9
Question
9. 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.
Shop
Trucks
Vans
Personnel
preparation
8
12
10
upholstery
10
8
8
electrical
12
16
12
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.
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 which ones? If people from an overstaffed shop were able to work in another shop, would transferring any from that shop improve profitability? (How many, from where, to where?)
Shop
Trucks
Vans
Personnel
preparation
8
12
10
upholstery
10
8
8
electrical
12
16
12
Explanation / Answer
trucks vans
Profit 5000 6000
Standing Order 12 10
Decision Variables
trucks vans
Units Made 20 15
Constraints
1) Hours used in each dept < hours available
Used <= Available
preparation 0 <= 400
upholstery 0 <= 320
electrical 0 <= 480
2) Total made >= standing orders
trucks vans
Units made 20 15
>= >= >=
Standing Order 12 10
3) total vans made should be less than or equal to 20
Vans made 15
<= <=
Max parts qty 20
Objective Fn
Maximize total profit
$190,000
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