universal $1$ universal $2$ universal $3$

selling price $100120140$

direct materials $151515$

direct labour $242448$

other variable costs $81617$

total allocted fixed costs $660066006600$

the company requires $2$ machine hours to produce $1$ unit of universal $1.4$ machine hours to produce $1$ unit of universal $2$

and $3$ hours to produce one unit of universal $3.$ the company has $2500$ total machine hours per month. Market demand is $500$ units

for universal $1,300$ for universal $2,$ and $400$ for universal $3.$

a$)$calculate the appropriate margin for each product to determine the optimal production mix that maximizes the companys profits.

b$)$how many units of $1$ should the company produce to maximize overall profit?

b$)$how many units of $2$ should the company produce to maximize overall profit?

b$)$how many units of $3$ should the company produce to maximize overall profit?

e$)$total contribution margin under optimal production mix?

f$)$total operating income under optimal production mix?