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?

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To find out how many units of each product can be manufactured per month, we need to consider the time required to produce one unit of each product and the availability of each machine.

Let's calculate the maximum number of units that can be manufactured for each product based on the availability of the machines.

Product X:
Machine A takes 1 hour to produce one unit, and we have 200 hours available. So, the maximum number of units of Product X that can be manufactured using Machine A is 200 units (200 hours / 1 hour per unit).
Machine B takes 2 hours to produce one unit, and we have 525 hours available. So, the maximum number of units of Product X that can be manufactured using Machine B is 262.5 units (525 hours / 2 hours per unit). Since we cannot produce a fraction of a unit, we have to take the floor value, which means we can produce 262 units.
Machine C takes 2 hours to produce one unit, and we have 350 hours available. So, the maximum number of units of Product X that can be manufactured using Machine C is 175 units (350 hours / 2 hours per unit).

Therefore, the maximum number of units of Product X that can be manufactured per month is 175 units.

Similarly, we can calculate the maximum number of units that can be manufactured for Products Y and Z:

Product Y:
Machine A: 200 units
Machine B: 262 units
Machine C: 175 units

Therefore, the maximum number of units of Product Y that can be manufactured per month is 175 units.

Product Z:
Machine A: 200 units
Machine B: 525 units
Machine C: 87.5 units (as 350 hours / 4 hours per unit)

Again, we cannot produce a fraction of a unit, so the maximum number of units of Product Z that can be manufactured per month is 87 units.

In conclusion, the maximum number of units of each product that can be manufactured per month, utilizing all three machines to their full capacity, is as follows:

Product X: 175 units
Product Y: 175 units
Product Z: 87 units