State the Linear Programming Problem in Mathematical Terms, Identifying the Objective

Multiple Choice

State the linear programming problem in mathematical terms, identifying the objective function and the constraints.
-A breed of cattle needs at least 10 protein and 8 fat units per day. Feed type I provides 6 protein and 2 fat units at $\$ 3 / \mathrm{bag}$ . Feed ty pe II provides 2 protein and 5 fat units at $\$ 2 / \mathrm{bag}$ . Which mixture fills the needs at minimum cost?

A) Minimize $2 x+3 y$
Subject to: $6 x+2 y \geq 10$
$2 x+5 y \geq 8$
$x, y \geq 0$ .
B) Minimize $3 x+2 y$
Subject to: $6 x+2 y \leq 8$
$2 x+5 y \leq 10$
$\mathrm{x}, \mathrm{y} \leq 0$ .
C) Minimize $3 x+2 y$
Subject to: $6 x+2 y \geq 10$
$2 x+5 y \geq 8$
$x, y \geq 0$ .
D) Minimize $3 x+2 y$
Subject to: $6 x+2 y \geq 8$
$2 x+5 y \geq 10$
$\mathrm{x}, \mathrm{y} \geq 0$ .