Answer: Here's my answer
Explanation:
The objective function given, "c = xy", represents the cost (c) associated with the operation of machine X and machine Y, where x represents the number of hours machine X runs and y represents the number of hours machine Y runs.
To understand the objective function, let's break it down step by step:
1. "c" represents the cost associated with the operation of the machines. This could include expenses such as maintenance, energy consumption, or labor costs.
2. "x" represents the number of hours machine X runs. This indicates the duration for which machine X is in operation.
3. "y" represents the number of hours machine Y runs. This indicates the duration for which machine Y is in operation.
4. The objective function "c = xy" states that the cost (c) is calculated by multiplying the number of hours machine X runs (x) by the number of hours machine Y runs (y). This means that the total cost is proportional to the product of the hours of operation for both machines.
For example, if machine X runs for 5 hours (x = 5) and machine Y runs for 3 hours (y = 3), the cost (c) would be calculated as follows:
c = xy
c = 5 * 3
c = 15
In this case, the cost (c) would be 15, representing the total cost associated with the operation of both machines for the given hours.
Therefore, the objective function "c = xy" calculates the cost based on the product of the hours of operation for machine X and machine Y.