Writing a Linear Program in Standard Form and Solving. Consider the linear program below and answer the following questions. LO $2,4,6,7$

Max $4A+1B$

$s.t.$

$,10A+2B30$

$,3A+2B12$

$,2A+2B10$

$,A,B0$

a$.$ Write this problem in standard form.

b$.$ Solve the problem using the graphical solution procedure.

c$.$ What are the values of the three slack variables at the optimal solution?