Answer:
Kindly check explanation
Explanation:
A) DECISION VARIABLES :
The decision variables in the question above lies in Muir Manufacturing Company's Production target in the coming production period:
The decision variables are thus:
1) Determining the number of rolls of Grade X carpet to manufacture.
11) Determining the number of Grade Y carpet to manufacture.
2) OBJECTIVES :
The objective is to maximize profit :
Profit per roll of Grade X carpet = $200
Profit per roll of Grade Y carpet = $160
The objective function is thus :
$200x + $160y
C.) THE CONSTRAINTS :
1) Synthetic fibre required:
Grade X = 50 units
Grade Y = 40 units
Total available units = 3000
50X + 40Y ≤ 3000
Production time:
Grade X = 25 hours of production time
Grade Y = 28 hours of production time
Scheduled production time to be provided by workers is atleast 1800 hours (since there is possibility for overtime).
25X + 28Y ≥ 1800
111) Foam backing required:
Grade X = 20 units
Grade Y = 10 units
Total available units = 1500
20X + 10Y ≤ 1500
Each roll of Grade X carpet uses 50 units of synthetic-fiber, requires 25 hours of production time, and needs 20 units of foam backing. Each roll of Grade Y carpet uses 40 units of synthetic-fiber, requires 28 hours of production time, and needs 15 units of foam backing.
