Question

Lauren runs a restaurant that sells two kinds of desserts. Lauren knows the restaurant must make at least 4 and at most 51 trays of the Nutty Squirrels. The restaurant must also make at least -1 and at most 18 trays of the Chocolate Decadence. Each tray of Nutty Squirrels takes 18 minutes in the oven, while each tray of Chocolate Decadence requires 17 minutes in the oven. The restaurant only has 918 minutes in the oven available. If trays of Nutty Squirrels generate $2.48 in profit, and trays of Chocolate Decadence generate $1.54, how many trays of the desserts should Lauren have the restaurant make to get the most profit?

Nutty Squirrels: ?

Chocolate Decadence: ?

Best Profit: ?

Answer 1

Given facts

Nutty Squirrel will need 18 minutes to get ready. It also gives a profit of $2.48 per unit

Chocolate Decadence need 17 minutes to get prepared. It gives a profit of $1.54 per unit

Clearly, the profit in preparing Nutty squirrel is high when compared to Chocolate Decadence (1.61 times = 2.48/1.54) whereas the time required is not that much high (only 1.06 times)

So we prefer to produce Nutty Squirrel as much a spossible along with the minimum of 1 quantity of Chocolate Decadence.

1 Chocolate Decadence = 17 minutes

Number of Nutty Squirrels = (918-17)/18 = 50.056

So the final answer is

Nutty Squirrels = 50 units

Chocolate Decadence = 1 unit

Best Profit = $125.54 (50 x 2.48 + 1 x 1.54)