Starbucks needs to decide how many muffins and how many croissants to produce ea

Question

Starbucks needs to decide how many muffins and how many croissants to produce each day. The profit per muffin is $2 and the profit per croissant is $1.5. On an average, each muffin takes 3 minutes of labor time and 3 minutes of oven time (of course they are produced in batches. For simplification, I have given you the time per piece). Croissants take 10 minutes of labor time and 1 minute of oven time. Starbucks can have its labor dedicated for a maximum of 2 hours every day. The oven time is limited to 6 hours during the night.

Let m be the number of muffins and c be the number of croissants produced in a day. The correct algebraic form for the constraint on labor time available is:

A. 3m + 10c 120
B. 3m + 10c 2
C. 10m + 3c 120
D. 30+3c 2

Please explain why. Thank you!

Explanation / Answer

3m+10c<=120

Option A

Each muffin will take 3 minutes of labor time therefore m number of muffins will take 3m minutes of labor time,

And Each croissant will tahe 10 min of labor time, therefore c number of croissants will take 10c min of labor time

And Labour available for 2 hour ie.120minutes

therefore constraint for labor ime will be 3m+10c<= 120

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