QuestionJune 2, 2025

It takes a phlebotomist 15 minutes to complete a blood draw. The supplies for each draw cost 5 and the phlebotomist earns 4 per 15 minutes. The phlebotomy lab is designed to accommodate 20,000 draws per year. Its rent is 80,000 per year. What is the average cost of a blood draw if the phlebotomist's wage rises to 5 14 16 18 21

It takes a phlebotomist 15 minutes to complete a blood draw. The supplies for each draw cost 5 and the phlebotomist earns 4 per 15 minutes. The phlebotomy lab is designed to accommodate 20,000 draws per year. Its rent is 80,000 per year. What is the average cost of a blood draw if the phlebotomist's wage rises to 5 14 16 18 21
It takes a phlebotomist 15 minutes to complete a blood draw. The supplies for each draw
cost 5 and the phlebotomist earns 4 per 15 minutes. The phlebotomy lab is designed to
accommodate 20,000 draws per year. Its rent is 80,000 per year.
What is the average cost of a blood draw if the phlebotomist's wage rises to 5
 14
 16
 18
 21

Solution
4.6(258 votes)

Answer

Wage \5: Average cost = \frac{(5 + 5) \times 20000 + 80000}{20000} = \9 ### Wage \14: Average cost = \frac{(5 + 14) \times 20000 + 80000}{20000} = \19 ### Wage \16: Average cost = \frac{(5 + 16) \times 20000 + 80000}{20000} = \21 ### Wage \18: Average cost = \frac{(5 + 18) \times 20000 + 80000}{20000} = \23 ### Wage \21: Average cost = \frac{(5 + 21) \times 20000 + 80000}{20000} = \26 Explanation 1. Calculate the cost per blood draw The cost per blood draw includes supplies and phlebotomist wages. Supplies cost \5. If the wage is W per 15 minutes, then the total cost per draw is 5 + W. 2. Calculate the total annual cost Total annual cost = (Cost per draw) \times (Number of draws) + Rent. For each wage scenario, calculate this using 20,000 draws and \80,000 rent. 3. Calculate the average cost per draw Average cost per draw = Total annual cost / Number of draws.

Explanation

1. Calculate the cost per blood draw<br /> The cost per blood draw includes supplies and phlebotomist wages. Supplies cost $\$5$. If the wage is $W$ per 15 minutes, then the total cost per draw is $5 + W$.<br /><br />2. Calculate the total annual cost<br /> Total annual cost = (Cost per draw) $\times$ (Number of draws) + Rent. For each wage scenario, calculate this using $20,000$ draws and $\$80,000$ rent.<br /><br />3. Calculate the average cost per draw<br /> Average cost per draw = Total annual cost / Number of draws.
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