Question

Asked Nov 14, 2019

Step 1

Let x guests ordered salad then (100-x) guests ordered turkey plate.

Now, since, the price of a salad is $10 minus $0.04 for each salad ordered,

So, we have

y_{1 }= 10-0.04x

And now, the price of a turkey plate is $12 minus $0.02 multiplied by the square of the number of turkey plates ordered,

So, we have

y_{2 }= 12-0.02(100-x)^{2}

Therefore, total revenue is given by:

Step 2

Now, differentiate with respect to x and put equal to zero to find the critical point:

Step 3

Now, find second deriv...

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