MSA Computer Corporation manufactures three models of computers: the Alpha4, Beta5, and the Delta6. The firm employs

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MSA Computer Corporation manufactures three models of
computers: the Alpha4, Beta5, and the Delta6. The
firm employs thirteen technicians working 160 hours each per month
on its assembly line. Management insists that no more than
full employment on the assembly line (i.e., all 160 hours of time)
can be maintained for each worker during next month’s operations,
so there will be no overtime. It requires 20 labor hours to
assemble each Alpha4 computer, 25 labor hours for each Beta5 model,
and 15 hours for each Delta6. Final testing and inspection
requires 3 hours for each Alpha4, 1.5 hours for each Beta5, and 1.2
hours for each Delta6. In addition to the workers on the
assembly line, the company has up to 80 hours available for
inspection and testing each month. Demand is such that the
company can and will sell all of the computers that it
produces. MSA must produce at least 10 Delta6
computers. In addition, the number of Alpha4 computers
produced each month must equal or exceed the combined total of
Beta5 and Delta6 computers produced. Alpha4 computers
generate $1,200 profit per unit, Beta5 computers yield $1,800 each,
and Delta6 computers yield $1,000 per unit. If the
optimal answer is in fractions of computers, leave them as
fractions.
Using any available software package (POM/QM, Solver, etc.),
what is the maximum profit and the quantity of each type of
computer to produce. Provide your computer software input and
output supporting your answers to parts a) and b). Not doing
this will result in loss of 75% of the credit on this
problem. If the optimal answer is in fractions of
computers that is acceptable.
Based on the computer output provided as part of part b) and
not resolving the problem, provide two sensitivity analysis
interpretations. One interpretation must use the objective
function sensitivity analysis interpretation and one must use a
constraint(s) sensitivity analysis interpretation. Provide
your supporting sensitivity analysis (ranging) output.