Debbie owns a clothing store that designs T-shirts and shorts. She sells the T-
shirts for $6 each and the shorts for $13 each. She can work 16 hours a day
at most. It takes her 30 minutes to design a T-shirt and 1 hour to design a pair
of shorts. She must design at least 12 items a day, but cannot design more
than 24 items in a day. Which of the values below is the maximum revenue
Debbie can make with these constraints?

$ 208

Step-by-step explanation:

This problem can be solved in a very simple way and the hourly earnings of each product are calculated.

That is, its sale value for the time it costs to create it:

For T-shirts: Each one is worth $ 6 but in one you can make two, therefore

$ 12 per hour.

For shorts: Each one is worth 13 and one is made per hour, therefore

$ 13 per hour

Which means that the most productive thing is to sell all shorts.

It can work 16 hours maximum, therefore it can make 16 shorts.

So:

13 * 16 = $ 208

And this would be the maximum value that can be obtained and complies with the restriction of at least 12 products but less than 24 products.