Given:

Let xa be the units of A produced, xb be the units produced by B and xc be the units produced by C.

Let xas be the units A sold, xbs be the units B sold and xcs be the units C sold.

Conservation of material:

xa=xas+2xbxb=xbs+xcs

Objective function:

Mazimize z=(cost of A)(units of A sold)+(cost of B)(units of B sold)+(cost of C) (units of C sold) =10xas+56xbs+100xcs

Considering the constraints,

Constraint 1 and 2: conservation of material

Constraint 3: At most, 40 hours of labor are available

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Chapter 3.9, Problem 4P

Chapter 3.9, Problem 6P

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