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Answer :
The objective function is the profit to be maximized Profit = 0.06x + 0.01y + 0.11z
To determine the number of lots of each type of item that the company should produce in order to maximize its profit.
Let's define the variables:
x = number of lots of shipping boxes
y = number of lots of mailing tubes
z = number of lots of retail boxes
Based on the given data, establish the following constraints:
Heavy-duty liner board constraint:
145x + 65y + 85z ≤ 370 pounds
Finish cardboard constraint:
35x + 40y + 70z ≤ 160 pounds
Labor constraint:
1.5x + 3y + 4.5z ≤ 12.5 hours
Additionally the non-negativity constraints:
x ≥ 0, y ≥ 0, z ≥ 0
solve this linear programming problem using optimization techniques to find the optimal values of x, y, and z.
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Rewritten by : Barada
