The management of Tamondong Corporation has provided the following data concerning its two products: The constrained resource is a particular machine that is available for 10, 200 minutes each month. How many units of product E25Y should be produced each month?

Question

The management of Tamondong Corporation has provided the following data concerning its two products:  The constrained resource is a particular machine that is available for 10, 200 minutes each month. How many units of product E25Y should be produced each month?

Quizplus · Accepted Answer

To determine how many units of product E25Y should be produced each month, we need to use linear programming. Let's define the decision variables:

x = number of units of product A11Z produced per month 
y = number of units of product E25Y produced per month

The objective function is to maximize profit:

Profit = 100x + 70y

Subject to the following constraints:

1. Machine constraint: 
5x + 10y ≤ 10,200

2. Production capacity constraints: 
x ≤ 600 
y ≤ 1,600

Non-negativity constraints: 
x ≥ 0 
y ≥ 0

Now, we can plot the feasible region on a graph and find the corner points:

Corner point 1: x = 0, y = 1,600 (profit = 112,000) 
Corner point 2: x = 600, y = 0 (profit = 60,000) 
Corner point 3: x = 840, y = 780 (profit = 121,800)

The optimal solution occurs at corner point 3, where x = 840 and y = 780. This means that the company should produce 780 units of product E25Y each month.

Therefore, the best choice is D (218 is not feasible and the optimal production for E25Y is 780).

The Management of Tamondong Corporation Has Provided the Following Data