Chapter 4.10, Problem 4P

Explanation of Solution

LINGO output

• LINGO is an optimization modelling language that enables user to create many constraints or objective function terms by typing one line.
• LINGO is used to solve both linear and nonlinear problems.
• It is a software tool which is designed efficiently for building and solving linear, nonlinear and integer optimization.
• The LINGO model consists of three parts which are objective function, variables and constraints.
• The objective function is a formula that describes what the model optimizes exactly.
• Variables are the quantities that can be changed for producing the optimal value of the objective function.
• The constraint is the formula that defines the limits on the values of the variables.
• Here in the case of product matrix problem ${\text{p}}_{\text{j}}$ is the unit produced for product $\text{j}$