Problem $3(20$ points$)$

Consider the following situation: Tom would like $3$ pints of home brew today and an additional $4$

pints of home brew tomorrow. Sally is willing to sell a maximum of $5$ pints total at a price of

$$3\mathrm{.}00$ per pint today and $$2\mathrm{.}70$ per pint tomorrow. Harry is willing to sell a maximum of $4$ pints

total at a price of $$2\mathrm{.}90$ today and $$2\mathrm{.}80$ per pint tomorrow. Tom wishes to know what his

purchases should be to minimize his cost while satisfying his thirst requirements.

$($a$)$ Formulate this problem as a transportation problem by constructing the appropriate

parameter table where column $j$ represents the day and row i represents the home brew

seller$/$supplier$.$