x: 4 units of a and 5 units of b per hour\ny: 3 units of a and 10 units of b per hour\ncost to run machine…

x: 4 units of a and 5 units of b per hour\ny: 3 units of a and 10 units of b per hour\ncost to run machine x:$22/hr\ncost to run machine y:$25/hr\nx=number of hours machine x runs\ny=number of hours machine y runs\nthe objective function is c = x + y.\ndone

x: 4 units of a and 5 units of b per hour\ny: 3 units of a and 10 units of b per hour\ncost to run machine x:$22/hr\ncost to run machine y:$25/hr\nx=number of hours machine x runs\ny=number of hours machine y runs\nthe objective function is c = x + y.\ndone

Answer

Explanation:

Step1: Identify cost - related information

The cost to run machine X is $22 per hour and the cost to run machine Y is $25 per hour.

Step2: Form the objective function

The objective function $C$ represents the total cost. If $x$ is the number of hours machine X runs and $y$ is the number of hours machine Y runs, then the total cost $C$ is the sum of the cost of running machine X and the cost of running machine Y. The cost of running machine X for $x$ hours is $22x$ and the cost of running machine Y for $y$ hours is $25y$. So, $C = 22x+25y$.

Answer:

$C = 22x + 25y$