Billyboy Toys' Toy Balls, Bats, and Gloves Net Profits, Excluding $\le$

Multiple Choice

Billyboy Toys' toy balls, bats, and gloves net profits, excluding fixed costs, of $7, $8, and $13 respectively.The products require 2, 3, and 5 production hours each.Using current facilities, 1600 production hours are available for the production of these products each month.If Billyboy also leases a second, smaller production facility for $3000 per month, this will increase the availability of production hours for these products by 800.This situation can be modeled using a mixed integer model that includes the following:

A) An objective function of: MAX 7X₁ + 8X₂ + 13X₃ Constraints including: 2X₁ + 3X₂ + 5X₃ $\le$ 2400
Variable constraints including X₁, X₂, X₃ $\ge$ 0
B) An objective function of: MAX 7X₁ + 8X₂ + 13X₃ - 3000Y₁ Constraints including: 2X₁ + 3X₂ + 5X₃ - 800Y₁ $\le$ 2400
Variable constraints including X₁, X₂, X₃= 0, Y₁ = 0 or 1
C) An objective function of: MAX 7X₁ + 8X₂ + 13X₃ - 3000Y₁ Constraints including: 2X₁ + 3X₂ + 5X₃ + 800Y₁ $\le$ 1600
Variable constraints including X₁, X₂, X₃ $\ge$ 0, Y₁ = 0 or 1
D) An objective function of: MAX 7X₁ + 8X₂ + 13X₃ - 3000Y₁