Tom would like 3 pints of home brew today and an additional 4 pints of home brew tomorrow. Dick is willing to sell a maximum of 5 pints total at a price of $3.00 per pint today and

$2.70 per pint tomorrow. Harry is willing to sell a maximum of 4 pints total at a price of $2.90 per pint today and $2.80 per pint tomorrow.

Tom wishes to know what his purchases should be to minimize his cost while satisfying his thirst requirements.

(a) Formulate a linear programming model for this problem, and construct the initial simplex tableau (see Chaps. 3 and 4).

(b) Formulate this problem as a transportation problem by constructing the appropriate parameter table.

C

(c) Obtain an optimal solution.