Question

(a) A company manufactures 15-inch laptops and 17-inch laptops. It takes 3 hours to manufacture a 15-inch laptop and 5 hours to manufacture a 17-inch laptop. Each 15-inch laptop has 256 GB of memory and each 17-inch laptop has 512 GB of memory. The company has 480 hours available and parts for 43,520 GB of memory. The company makes a profit of $2000 on each 15-inch laptop and $3000 on each 17-inch laptop.

Answer 1

We can start by using the information provided to calculate how many laptops of each size the company can manufacture within the 480 hours available:

15-inch laptops: 480 hours / 3 hours per laptop = 160 laptops

17-inch laptops: 480 hours / 5 hours per laptop = 96 laptops

With the 480 hours available and the number of laptops that can be manufactured, we can calculate the total amount of memory that can be used:

15-inch laptops: 160 laptops x 256 GB per laptop = 40,960 GB

17-inch laptops: 96 laptops x 512 GB per laptop = 49,152 GB

Since the company has 43,520 GB of memory available, it can manufacture:

15-inch laptops: 43,520 GB / 256 GB per laptop = 170 laptops

17-inch laptops: 43,520 GB / 512 GB per laptop = 85 laptops

The company can manufacture 170 15-inch laptops and 85 17-inch laptops.

Now, we can calculate the profit that the company can make:

15-inch laptops: 170 laptops x $2000 per laptop = $340,000

17-inch laptops: 85 laptops x $3000 per laptop = $255,000

So, the company can make a total profit of $595,000 from the 170 15-inch laptops and 85 17-inch laptops.

The company can manufacture 170 15-inch laptops and 85 17-inch laptops, and make a total profit of $595,000.

Explanation: