If a company is trying to maximize profit while selling two products,Bigpods with $10 profit and Smallpods with $7 profit,and if 100 assembly hours are split equally between the two products and one hour assembly is required for each pod,what is the maximum profit?
A)$17
B)$700
C)$850
D)$1000
E)$1700

Question

Quizplus · Accepted Answer

To maximize profit, the company needs to determine the optimal production quantity for each product. Since 100 assembly hours are split equally between the two products, the company can produce a maximum of 100 Bigpods and 100 Smallpods.

Let's start by calculating the maximum profit for Bigpods:

- Profit per pod = $10
- Assembly time per pod = 1 hour
- Maximum number of Bigpods that can be produced = 100
- Total profit for Bigpods = $10 x 100 = $1000

Next, let's calculate the maximum profit for Smallpods:

- Profit per pod = $7
- Assembly time per pod = 1 hour
- Maximum number of Smallpods that can be produced = 100
- Total profit for Smallpods = $7 x 100 = $700

Therefore, the maximum profit that the company can make by producing both products is:

$1000 + $700 = $1700

Thus, the answer is C.

If a Company Is Trying to Maximize Profit While Selling