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.