Question

At taste of thyme coffee shop a dirty chai latte creates a profit point of $2.85 for a small and $3.80 for a large. in a month, 200 small lattes were sold and 285 large lattes. as a fast growing demand item with fall approaching, the demand is estimated at 400 and 420 per month. the allotted machine time for both lattes is 90 hours. the amount of machine time needed to produce the lattes is 5 minutes and 7 minutes each or for a month, 16.67 hours a month for a small and 33.25 hours a month for a large. what is the corresponding parameters formulation for machine time

Answer 1

When compared to the allotted machine time of 90 hours, it can be concluded that the machine time constraint will not be exceeded for both small and large lattes.

Step-by-step explanation:

The corresponding parameters formulation for machine time in this case can be calculated by finding the total machine time required for each size of latte and comparing it to the allotted machine time.

For the small latte, 200 were sold in a month, and each latte takes 5 minutes of machine time.

Therefore, the total machine time required for small lattes in a month is 200 * 5 minutes = 1000 minutes, which is equivalent to 16.67 hours.

Similarly, for the large latte, 285 were sold in a month, and each latte takes 7 minutes of machine time.

Therefore, the total machine time required for large lattes in a month is 285 * 7 minutes = 1995 minutes, which is equivalent to 33.25 hours.

When compared to the allotted machine time of 90 hours, it can be concluded that the machine time constraint will not be exceeded for both small and large lattes.