A company makes three products X, Y and Z. Each product requires processing by three machines A, B and C. The time required to produce one unit of each product is shown below.

Product X:-
Machine A: 1
Machine B: 2
Machine C: 2

Product Y:
Machine A:2
Machine B: 2
Machine C: 2

Product Z:
Machine A:2
Machine B: 1
Machine C:4

The machines are available for 200, 525 and 350 hours each month. How many units of each product can be manufactured per month if all three machines are utilized to their full capacity?

This problem is very similar to the one about electronic parts, namely set up the equations, solve for the answers and check the results.

If you would work out your answers and post the results for checking, I would be glad to do the verifications for you.

If you encounter problems on the way , tell us how far you got, and what the difficulty is.

To find out how many units of each product can be manufactured per month, we need to calculate the maximum number of units that can be produced based on the available machine hours.

First, let's calculate the machine hours required for each product:

Product X:
Machine A: 1 hour per unit
Machine B: 2 hours per unit
Machine C: 2 hours per unit

Product Y:
Machine A: 2 hours per unit
Machine B: 2 hours per unit
Machine C: 2 hours per unit

Product Z:
Machine A: 2 hours per unit
Machine B: 1 hour per unit
Machine C: 4 hours per unit

We then need to check the machine availability for each machine:

Machine A: 200 hours per month
Machine B: 525 hours per month
Machine C: 350 hours per month

Now, let's calculate the maximum number of units that can be produced for each product, taking into account the machine availability:

Product X:
The bottleneck is Machine C, which requires 2 hours per unit. With 350 hours available for Machine C, we can produce a maximum of 350 / 2 = 175 units of Product X.

Product Y:
All machines require 2 hours per unit. The bottleneck is Machine B, which has 525 hours available. Therefore, we can produce a maximum of 525 / 2 = 262.5 units of Product Y. Since we cannot produce a fraction of a unit, we need to round down to the nearest whole number. Therefore, we can produce a maximum of 262 units of Product Y.

Product Z:
The bottleneck is Machine C, which requires 4 hours per unit. With 350 hours available for Machine C, we can produce a maximum of 350 / 4 = 87.5 units of Product Z. Rounding down to the nearest whole number, we can produce a maximum of 87 units of Product Z.

In summary, based on the machine availability, we can manufacture a maximum of:
- 175 units of Product X
- 262 units of Product Y
- 87 units of Product Z