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?

Can you help me woth this one too!

To determine how many units of each product can be manufactured per month, we need to consider the processing time for each product on each machine, as well as the availability of each machine.

Let's go through the calculation step by step for each machine:

Machine A:
- Product X requires 1 unit of time on Machine A per unit produced.
- Product Y requires 2 units of time on Machine A per unit produced.
- Product Z requires 2 units of time on Machine A per unit produced.
- Machine A is available for 200 hours per month.

Therefore, we can calculate the maximum number of units of each product that can be produced on Machine A as follows:
- Product X: 200 hours / 1 unit of time = 200 units
- Product Y: 200 hours / 2 units of time = 100 units
- Product Z: 200 hours / 2 units of time = 100 units

Machine B:
- Product X requires 2 units of time on Machine B per unit produced.
- Product Y requires 2 units of time on Machine B per unit produced.
- Product Z requires 1 unit of time on Machine B per unit produced.
- Machine B is available for 525 hours per month.

Therefore, we can calculate the maximum number of units of each product that can be produced on Machine B as follows:
- Product X: 525 hours / 2 units of time = 262.5 units (round down to 262 units)
- Product Y: 525 hours / 2 units of time = 262.5 units (round down to 262 units)
- Product Z: 525 hours / 1 unit of time = 525 units

Machine C:
- Product X requires 2 units of time on Machine C per unit produced.
- Product Y requires 2 units of time on Machine C per unit produced.
- Product Z requires 4 units of time on Machine C per unit produced.
- Machine C is available for 350 hours per month.

Therefore, we can calculate the maximum number of units of each product that can be produced on Machine C as follows:
- Product X: 350 hours / 2 units of time = 175 units
- Product Y: 350 hours / 2 units of time = 175 units
- Product Z: 350 hours / 4 units of time = 87.5 units (round down to 87 units)

To find the maximum number of units for each product that can be manufactured per month, we need to consider the minimum capacity among the three machines. Therefore, we can produce the following maximum number of units for each product:
- Product X: 200 units (limited by Machine A)
- Product Y: 100 units (limited by Machine A)
- Product Z: 87 units (limited by Machine C)

So, per month, we can manufacture maximum of 200 units of Product X, 100 units of Product Y, and 87 units of Product Z if all three machines are utilized to their full capacity.