Final answer:
The minimum price per dose North American Pharmaceuticals could bid without reducing the company's income is $0.024, taking into account the variable costs, fixed overhead, administrative costs, and a 30% return on the total cost.
Step-by-step explanation:
The minimum price per dose that North American Pharmaceuticals could bid without reducing the company's income can be calculated considering the direct labor and variable overhead costs per dose, the addition of fixed overhead and administrative costs spread over the entire job, and a 30 percent return on the total cost.
First, we calculate the total variable cost per dose:
Direct labor per dose = Direct labor per DLH / Production rate = $29.00 / 5,000 doses per DLH = $0.0058 per dose
Variable overhead per dose = Variable overhead per DLH / Production rate = $25.00 / 5,000 doses per DLH = $0.005 per dose
Total variable cost per dose (TVC) = Direct labor per dose + Variable overhead per dose = $0.0058 + $0.005 = $0.0108 per dose
Next, we allocate the fixed overhead and administrative costs to the total number of doses:
Fixed Overhead for the job = Fixed overhead per DLH * Total DLHs needed = $33.00 * (3,000,000 doses / 5,000 doses per DLH) = $19,800
Administrative costs for the job = $3,300
Total fixed and administrative costs (TFAC) = Fixed Overhead + Administrative costs = $19,800 + $3,300 = $23,100
TFAC per dose = $23,100 / 3,000,000 doses = $0.0077 per dose
Therefore, the total cost per dose (TC) before adding the 30% return is:
TC = TVC + TFAC per dose = $0.0108 + $0.0077 = $0.0185 per dose
Now, we calculate the price per dose including a 30% return on the total cost:
Minimum price per dose = TC * (1 + Return on Total Cost) = $0.0185 * (1 + 0.30) = $0.02405 per dose
Therefore, North American Pharmaceuticals could bid a minimum price of $0.024 per dose to Wyant Memorial Hospital.