Ariel left her home at 9 a.m., driving at 45 mph. At 11 a.m. her brother left the home and started after her at 60 mph. At what
2 answers:
Answer:
Her brother catch her at 11 am + 4hour = 15 p.m
Step-by-step explanation:
Given as ;
Speed of Ariel = 45 mph
She left home at 9 a.m
Her brother speed = 60 mph
Her brother left home at 11 a.m
Now from question So As Ariel speed is 45 mph so, after two hours pass , she ahead 90 m .
As her brother travel as 60 mph ,so he travel at ( 60 - 45 )= 15 mph faster
So, with this speed her brother will catch up her at = after 4 hour .
Hence her brother catch her at 11 am + 4hour = 15 p.m Answer
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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.
