Consider the two triangles shown. Which statement is true?
2 answers:
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Answer:
<em>50 Chef's salads and 50 Caesar salads should be prepared in order to maximize profit.</em>
Step-by-step explanation:
Suppose, the number of Chef's salad is and the number of Caesar salad is
On a typical weekday, it sells between 40 and 60 Chefs salads and between 35 and 50 Caesar salads.
So, the two constraints are: and
The total number sold has never exceed 100 salads. So, another constraint will be:
According to the graph of the constraints, the vertices of the common shaded region are: and
<em>(Refer to the attached image for the graph)</em>
The lunch stand makes a $.75 profit on each Chef's salad and $1.20 profit on each Caesar salad. So, the profit function will be:
For (40, 35) ,
For (60, 35) ,
For (60, 40) ,
For (50, 50) , <u><em>(Maximum)</em></u>
For (40, 50) ,
Profit will be maximum when and
Thus, 50 Chef's salads and 50 Caesar salads should be prepared in order to maximize profit.
Calculate the interest for a year
interest/year = percentage × deposit
interest/year = 7.5% × 300
interest/year =
interest/year =
interest/year = 22.5
She will get $22.5 in a year
Calculate interest in 5 years
interest in 5 years = interest per year × 5
interest in 5 years = 22.5 × 5
interest in 5 years = 112.5
She will get $112.50 in 5 years
interest/year = percentage × deposit
interest/year = 7.5% × 300
interest/year =
interest/year =
interest/year = 22.5
She will get $22.5 in a year
Calculate interest in 5 years
interest in 5 years = interest per year × 5
interest in 5 years = 22.5 × 5
interest in 5 years = 112.5
She will get $112.50 in 5 years