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A Manager Must Decide on the Mix of Products to Produce

question 10

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A manager must decide on the mix of products to produce for the coming week.Product A requires three minutes per unit for molding,two minutes per unit for painting,and one minute for packing.Product B requires two minutes per unit for molding,four minutes for painting,and three minutes per unit for packing.There will be 600 minutes available for molding,600 minutes for painting,and 420 minutes for packing.Both products have contributions of $1.50 per unit.
a.Algebraically state the objective and constraints of this problem.
b.Plot the constraints on the grid below and identify the feasible region. A manager must decide on the mix of products to produce for the coming week.Product A requires three minutes per unit for molding,two minutes per unit for painting,and one minute for packing.Product B requires two minutes per unit for molding,four minutes for painting,and three minutes per unit for packing.There will be 600 minutes available for molding,600 minutes for painting,and 420 minutes for packing.Both products have contributions of $1.50 per unit. a.Algebraically state the objective and constraints of this problem. b.Plot the constraints on the grid below and identify the feasible region.


Definitions:

Fetus

A developing mammal or human after the embryonic stage and before birth, during which significant growth and organ development occur.

Womb

The organ in female mammals, including humans, where offspring are conceived and in which they gestate before birth; also known as the uterus.

Heterozygous Pair

A pair of genes where one is dominant and the other is recessive, leading to a combination of traits in an organism.

Alleles

Alleles are different versions of a gene that exist at the same locus or position on a chromosome, contributing to genetic diversity and heritable variations within populations.

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