i) Revenue generated when 50 items are sold:
The total revenue TR is the integral of the marginal revenue function:

TR =

When 50 items are sold, substituting x = 50 

TR =

Thus, the revenue generated is GH₵62,083.

ii) Number of items that yield maximum revenue:
To find the number of items that yield maximum revenue, set the marginal revenue equal to zero:

MR =

x1​ = 10, x2 ​= −2.5 (reject negative value)

Thus, the number of items that yield maximum revenue is 10 items.

iii) Total revenue if 100 items are produced:
Substitute x = 100 into the total revenue function:

TR = = 586,666.67

Thus, the total revenue for 100 items is GH₵586,666.

iv) Total profit for 100 items:
The total profit π is the difference between total revenue and total cost. The total cost is the integral of the marginal cost function:

TC =

Substitute x = 100 = 

π = TR−TC = 586,666.67 − (803,333.33)= 803,333.33

Thus, the total profit for 100 items is GH₵803,333.33.

v) Cost of 100 items after 20% tax:

The new cost function with a 20% tax is:

TC =

Substitute x = 100

TC =

Thus, the total cost for 100 items after the tax is GH₵216,646.67.