Final answer:
The manufacturer should sign a contract with the new wholesaler because it would result in a significantly higher profit. Currently, the manufacturer sells 500 containers of protein powder per month for a profit of $11,250. With the new wholesaler arrangement, the manufacturer could sell 1000 cases per month for a profit of $181,250.
Step-by-step explanation:
To determine whether the manufacturer should sign a contract with the new wholesaler, we need to compare the total costs and revenues. Currently, the manufacturer sells 500 containers of protein powder per month at a price of $60 per container, resulting in a total revenue of $30,000. The total cost for the manufacturer is given by the sum of the variable costs per container ($7.50) multiplied by the number of containers sold (500), plus the fixed costs ($15,000). This gives a total cost of $3,750 + $15,000 = $18,750. Therefore, the profit for the manufacturer is $30,000 - $18,750 = $11,250 per month.
Now, let's consider the new wholesale arrangement. The manufacturer will sell a case of 6 containers for $200 to the wholesaler, who will want to collect a 40% margin on their sales. This means the wholesaler will sell the case for $280. The manufacturer's revenue per case will be $200, and since they sell 1000 cases per month, their total revenue will be $200,000. The total cost will be the sum of the variable costs per case ($7.50 per container multiplied by 6 containers) multiplied by the number of cases sold (1000), plus the fixed costs. This gives a total cost of $3,750 + $15,000 = $18,750. Therefore, the profit for the manufacturer is $200,000 - $18,750 = $181,250 per month.
Comparing the two scenarios, signing a contract with the new wholesaler would result in a higher profit for the manufacturer, as the profit would increase from $11,250 per month to $181,250 per month. Therefore, it would be beneficial for the manufacturer to sign a contract with the new wholesaler.