A car repair shop blends oil from two suppliers. Supplier l can supply at most 41 gallons with 3.9% detergent. Supplier il can supply at most 61 gallons with 3.2% detergent. How much can be ordered from each to get at most 100 gallons of oil with maximum detergent? Let r be the number of gallons from Supplier I and let y be the number of gallons from Supplier II. State the linear programming problem in mathematical terms, identifying the objective function and the constraints. a. Maximize 0.039m 0.032y Subject to: 0 z 41,0 < y < 61, z + y 100
b. Maximize 41z + 61y Subject to: z 41, y 61, 0.039m + 0.032y 100
c. Maximize 0.032x + 0.039y Subject to: 0 x < 41,0 < y < 61,x +y 100 .
d. Maximize 41z+61y Subject to: 0 341,0 sy61,0.039z+0.032y 100.