Question

Joe is using the function E= 1.89x + 2.89y to minimize his expenses when selling

Answer 1

Answer:

$(d)\ \ 13.34$

Step-by-step explanation:

Given

$E = 1.89x + 2.89y$ -- Objective function

Constraints:

$2x + y > 10$

$x + 2y > 8$

$x,y>0$

Required

Minimum value of E

To do this, we apply graphical method

See attachment for plots of $2x + y > 10$ and $x + 2y > 8$

From the attached plot, the point that satisfy $x,y>0$ is:

$(x,y) = (4,2)$

So, we have:

$E = 1.89x + 2.89y$

This gives:

$E =1.89 * 4 + 2.89 * 2$

$E =7.56 + 5.78$

$E =13.34$