Problem $13-12($Algo$)$

Make$-$Believe$-$You is a company that produces "cosplay" costumes for those people who want to live like their favorite action heroes. Currently, out of its catalog of hundreds of costumes, Make$-$Believe$-$You has identified six costumes that are demanded on a regular basis $($with the following traits$)$ and that are made in the same system:

Model # Hours Price $\%$ of Sales

Harley Quinn $5\mathrm{.}836516$

Guardians of the Galaxy $$ Star Lord $3\mathrm{.}326517$

Star War $$ Storm trooper $3\mathrm{.}531521$

Lord of the Rings $$ Gandalf $3\mathrm{.}634510$

Batman $$ Dark Knight $7\mathrm{.}044526$

Iron Man $$ from Iron Man $3/$Avengers $7\mathrm{.}480510$

Make$-$Believe$-$You also has developed the following agreed$-$upon forecast for overall demand:

Month Predicted

Demand

$($aggregate

units$)$

January $380$

February $440$

March $160$

April $240$

May $150$

June $305$

July $190$

August $145$

pictureClick here for the Excel Data File

Management has decided that it would like to begin with $300$ units at the end of December and end with $100$ units on hand at the end of August.

a$.$ Using these data, identify the monthly production levels using a chase strategy.

b$.$ Using the data in your solution to question $($a$),$ develop an aggregate plan using a constant workforce. $($Hint: Convert the individual units into aggregate units using a summed weighted approach. For example, Iron Man contributes $7\mathrm{.}4\backslash$times $\mathrm{.}10=\mathrm{.}74$ hours of demand for capacity, while Harley Quinn contributes $5\mathrm{.}8\backslash$times $\mathrm{.}16=\mathrm{.}93$ hours of demand for capacity. Use the same approach for each item to determine the overall aggregate demand for capacity.$)($Round your answers to $2$ decimal places.$)$