ABC Company specializes ni manufacturing winter shoes for men, women, and children. They are currently strategizing their production mix for the upcoming season. ABC Company operates with a unionized labor force, where each ful-time employee works a standard 40-hour wek. As per the union contract, the company must maintain a minimum of 20 full-time employees at all
times. Additionally, the company has the option ot hire non-union, part-time workers, subject ot certain constraints: each part-time worker si scheduled ot work 20 hours per wek, and there must be a ratio of at least two full-time workers for every part-time employee.
eThcompanyacec ohpiearcraetdsquaertoreemnienacdheieahte.r contracted supplier.
Below si a table detailing the material and labor requirements, along with the gross profit per pair of shoes (excluding labor costs)Material Required
Labor Required
Gross Profit
SHOES (square feet) (minutes) (Pair) s Men's 2 03 8
Women's 15. 10
Children's 1 40
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smaroporteisCAonhgce wniecalngemgien corationot time worker earns $13/hour, while each part-time employe earns $10/hour. Management wants ot know which mxi of each of three types of shoesot produce per wek, sa wel sa how many ful-time and part time employees ot employ. They would like ot maximize their net profit (gros profit-labor costs).
.a Formulate and solve a linear programming model for the problem on a spreadsheet.
