Problem T$5-12$ Integer LP$.$ From Problem $4$: A company manufactures two types of toys: trucks and cars. Each truck requires $1$ minute of molding time, $2$ minutes of painting time, and $1$ minute of packing time. Each car requires $2$ minutes of molding time, $1$ minute of painting time, and $2$ minutes of packing time. There are a maximum of $300$ minutes of molding time, $400$ minutes of painting time, and $400$ minutes of packing time available each day. Both trucks and cars contribute $$1$ per unit to profit. In the original problem, the optimal solution was to make $166\mathrm{.}67$ trucks and $66\mathrm{.}67$ cars. Solve this problem again requiring that both the number of trucks and the number of cars must be integers. a$.$ What is the integer solution optimal number of trucks and cars to make? Number of trucks $=$ Number of cars $=$ b$.$ Does the number of trucks and cars differ significantly from rounding off the solution? Yes $\backslash$Omicron $\backslash$Nu $\backslash$omicron c$.$ How much does profit decrease? Profit decreases from to