A Company manufactures two products X and Y by means of two process A and B. The maximum capacity of process A is 17500hours and of process B 400hrs. Each unit of product X requires 3hours in A and 2 Hours in B, while each unit of product Y requires I hour in A and 4 hours in B. How many units of products X and Y are produced if the maximum capacity is utilized?

A = 17500h

B = 400h

X
• A = 3h
• B = 2

X
• 3 = 1
• 2 = 1

A = 17500 / 3 = 5833.33 or 5833
B = 400 / 2 = 200

5833 + 200 = 6033

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Y
• A = 1
• B = 4

Y
• 1 = 1
• 4 = 1

A = 17500 / 1 = 17500
B = 400 / 4 = 100

17500 + 100 = 17600

To determine the number of units of product X and Y that can be produced when the maximum capacity is utilized, we need to find the limiting factor between process A and process B.

Let's start with product X:
- Each unit of product X requires 3 hours in process A and 2 hours in process B.
- The maximum capacity of process A is 17500 hours, while the maximum capacity of process B is 400 hours.
- To find the maximum number of units of product X that can be produced, we need to divide the available hours in each process by the respective hours required per unit.

For process A:
Maximum units of X = 17500 hours / 3 hours per unit = 5833.33 units (rounded down to the nearest whole number)

For process B:
Maximum units of X = 400 hours / 2 hours per unit = 200 units

The limiting factor for product X is process B, as it can only produce 200 units. Therefore, the maximum number of units of product X that can be produced is 200 units.

Now, let's move on to product Y:
- Each unit of product Y requires 1 hour in process A and 4 hours in process B.
- The maximum capacity of process A is still 17500 hours, while the maximum capacity of process B is still 400 hours.
- Again, we need to divide the available hours in each process by the respective hours required per unit.

For process A:
Maximum units of Y = 17500 hours / 1 hour per unit = 17500 units

For process B:
Maximum units of Y = 400 hours / 4 hours per unit = 100 units

The limiting factor for product Y is process B, as it can only produce 100 units. Therefore, the maximum number of units of product Y that can be produced is 100 units.

In conclusion, when the maximum capacity is utilized, the company can produce a maximum of 200 units of product X and 100 units of product Y.

To find out how many units of products X and Y can be produced when the maximum capacity is utilized, we need to determine the maximum number of units that can be produced for each process separately.

Let's start with process A:

The maximum capacity of process A is 17,500 hours. Each unit of product X requires 3 hours in process A, while each unit of product Y requires 1 hour in process A.

Therefore, the maximum number of units of product X that can be produced in process A is:

17,500 hours / 3 hours per unit of X = 5,833.33 units (approx.)

The maximum number of units of product Y that can be produced in process A is:

17,500 hours / 1 hour per unit of Y = 17,500 units

Now, let's move on to process B:

The maximum capacity of process B is 400 hours. Each unit of product X requires 2 hours in process B, while each unit of product Y requires 4 hours in process B.

Therefore, the maximum number of units of product X that can be produced in process B is:

400 hours / 2 hours per unit of X = 200 units

The maximum number of units of product Y that can be produced in process B is:

400 hours / 4 hours per unit of Y = 100 units

Now, to determine the overall maximum number of units that can be produced, we need to consider the minimum of the maximums calculated from both processes.

So, the maximum number of units of products X and Y that can be produced when the maximum capacity is utilized is:

Product X: Min(5,833 units in process A, 200 units in process B) = 200 units
Product Y: Min(17,500 units in process A, 100 units in process B) = 100 units

Therefore, when the maximum capacity is utilized, the company can produce 200 units of product X and 100 units of product Y.