excels solver tools has been used in the spreadsheet below to solve a linear programming problem with a minimization objective function and all >= constraints

input section	x	y
objective function coefficients	5	3
constraints			Required
#1	4	2	60
#2	5	4	50
#3	7	8	144
Output Section
Variables	10.66667	8.666667
			Total
profit	53.33333	26	79.33333
Constraints			usage
#1			60
#2			88
#3			144

a. give the original linear programming problem

b. give the complete optimal solution (including slack)