C723 - UNIT-6 MULITPLE CHOICE
EXAM 2025/2026 QUESTIONS AND
ANSWERS 100% PASS
In a linear programming graph, which of the following describes the area that satisfies all of the
constraints?
Possible solution
Feasible region
Objective function
Cost minimization region - ANS Feasible region
Acme Corp. makes couches and chairs using three main components: wood, foam, and fabric. It
takes 60 linear feet to make a couch and 35 to make a chair. It takes 30 hours of labor to make
a couch and 15 to make a chair. Couches sell for $800 and chairs for $350.
The selling price would be part of which element?
Objective
Decision Variable
Constraint - ANS Objective
pg. 1 @COPYRIGHT 2025/2026 ALLRIGHTS RESERVED
, Acme Corp. makes couches and chairs using three main components: wood, foam, and fabric. It
takes 60 linear feet to make a couch and 35 to make a chair. It takes 30 hours of labor to make
a couch and 15 to make a chair. Couches sell for $800 and chairs for $350.
State the mathematical representation to show that the total number of linear feet of wood for
both couches (X) and chairs (Y) cannot exceed 5,000.
a. 60X + 35Y >= 5,00060X + 35Y >= 5,000
b. 35X + 60Y = 5,00035X + 60Y = 5,000
c. 60X + 35Y <= 5,00060X + 35Y <= 5,000 - ANS This adds 60 linear feet for each couch made
to 35 linear feet for each chair made to arrive at total linear feet that cannot be exceeded
c. 60X + 35Y <= 5,00060X + 35Y <= 5,000
Acme Corp. makes couches and chairs using three main components: wood, foam, and fabric. It
takes 60 linear feet to make a couch and 35 to make a chair. It takes 30 hours of labor to make
a couch and 15 to make a chair. Couches sell for $800 and chairs for $350.
State the mathematical representation to show that the company must make at least 20 chairs
to fill backorders.
Y = 20
Y >= 20Y
Y <= 20 - ANS = is not appropriate
< is making less than required
Therefore the correct answer is:
Y >= 20Y
pg. 2 @COPYRIGHT 2025/2026 ALLRIGHTS RESERVED
EXAM 2025/2026 QUESTIONS AND
ANSWERS 100% PASS
In a linear programming graph, which of the following describes the area that satisfies all of the
constraints?
Possible solution
Feasible region
Objective function
Cost minimization region - ANS Feasible region
Acme Corp. makes couches and chairs using three main components: wood, foam, and fabric. It
takes 60 linear feet to make a couch and 35 to make a chair. It takes 30 hours of labor to make
a couch and 15 to make a chair. Couches sell for $800 and chairs for $350.
The selling price would be part of which element?
Objective
Decision Variable
Constraint - ANS Objective
pg. 1 @COPYRIGHT 2025/2026 ALLRIGHTS RESERVED
, Acme Corp. makes couches and chairs using three main components: wood, foam, and fabric. It
takes 60 linear feet to make a couch and 35 to make a chair. It takes 30 hours of labor to make
a couch and 15 to make a chair. Couches sell for $800 and chairs for $350.
State the mathematical representation to show that the total number of linear feet of wood for
both couches (X) and chairs (Y) cannot exceed 5,000.
a. 60X + 35Y >= 5,00060X + 35Y >= 5,000
b. 35X + 60Y = 5,00035X + 60Y = 5,000
c. 60X + 35Y <= 5,00060X + 35Y <= 5,000 - ANS This adds 60 linear feet for each couch made
to 35 linear feet for each chair made to arrive at total linear feet that cannot be exceeded
c. 60X + 35Y <= 5,00060X + 35Y <= 5,000
Acme Corp. makes couches and chairs using three main components: wood, foam, and fabric. It
takes 60 linear feet to make a couch and 35 to make a chair. It takes 30 hours of labor to make
a couch and 15 to make a chair. Couches sell for $800 and chairs for $350.
State the mathematical representation to show that the company must make at least 20 chairs
to fill backorders.
Y = 20
Y >= 20Y
Y <= 20 - ANS = is not appropriate
< is making less than required
Therefore the correct answer is:
Y >= 20Y
pg. 2 @COPYRIGHT 2025/2026 ALLRIGHTS RESERVED
