Question

The profit P in dollars of selli mg x widgets and y gadgets is given by the function P(x,y)=7x-8y. which corner point of the shaded region will maximize the prophet

Answer 1

we have

P(x,y)=7x+8y

so

Verify for each ordered pair of the shaded region

so

For (0,35) --------> P=7(0)+8(35)=280

For (10,30) ------> P=7(10)+8(30)=310

For (15,25) ------> P=7(15)+8(25)=305

For (20,15) ------> P=7(20)+8(15)=260

For (20,0) ------> P=140

therefore

(10,30) maximize the profit