Answer:
The maximum value of P is \(40\)
Step-by-step explanation:
we have the constraints
\(x+2y\leq 10\) ------> constraint A
\(y\leq 2\) ------> constraint B
\(x\geq 0\) ------> constraint C
\(y\geq 0\) ------> constraint D
\(P=4x+2y\)
Using a graphing tool
The solution of the constraints is the shaded area in the attached figure
For the point \((0,0)\)
The value of P is equal to
\(P=4(0)+2(0)=0\)
For the point \((6,2)\)
The value of P is equal to
\(P=4(6)+2(2)=28\)
For the point \((0,2)\)
The value of P is equal to
\(P=4(0)+2(2)=4\)
For the point \((10,0)\)
The value of P is equal to
\(P=4(10)+2(0)=40\)
therefore
The maximum value of P is \(40\)
