Question

A compounded prescription required using 15 capsules costing $45.00 per 50 capsules and 120 GM of an ointment base costing $15.00 per pound. If a $5.00 dispensing fee is included, how much should the patient be charged? a) 15 capsules costing $45.00 per 50 capsules

b) 20 capsules costing $60.00 per 50 capsules
c) 10 capsules costing $30.00 per 50 capsules
d) 25 capsules costing $75.00 per 50 capsules

Answer 1

The patient should be charged a total of $22.45, which includes the cost of 15 capsules at $13.50, the ointment base at $3.95, and a $5.00 dispensing fee.

Step-by-step explanation:

To calculate how much the patient should be charged for their prescription, we need to break down the cost of each component of the prescription and then add them together along with the dispensing fee.

Step 1: Calculate the cost of the capsules

Since 50 capsules cost $45.00, the cost per capsule is $45.00 ÷ 50 = $0.90. Therefore, 15 capsules would cost 15 × $0.90 = $13.50.

Step 2: Calculate the cost of the ointment base

There are 454 grams in one pound. If 120 grams are required and the cost is $15.00 per pound, the cost for 120 grams is:
120 gm ÷ (1 pound / 454 gm) × $15.00 per pound = $3.95 (rounded to two decimal places).

Step 3: Add the dispensing fee

The dispensing fee is $5.00.

Step 4: Calculate the total charge

The total cost to the patient would be the sum of the costs of the capsules, ointment base, and dispensing fee. Thus, the total charge is $13.50 (capsules) + $3.95 (ointment base) + $5.00 (dispensing fee) = $22.45.