Tom would like 3 pints of home brew today and an addi-tional 4 pints of home brew tomorrow. Dick is willing to sell amaximum 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 4pints 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 mini-mize his cost while satisfying his thirst requirements.(a)Formulate a linear programmingmodel for this problem, andconstruct the initial simplex tableau (see Chaps. 3 and 4).(b)Formulate this problem as a transportation problemby con-structing the appropriate parameter table