Blossom, Incorporated, is a small company that manufactures three versions of patio tables. Unit information for its products follows:

 

 

 Table A Table B Table C

 

Sales price $ $54$ $ $58$ $ $72$

 

Direct materials $111213$

 

Direct labor $359$

 

Variable manufacturing overhead $555$

 

Fixed manufacturing overhead $777$

 

Required number of labor hours $0\mathrm{.}500\mathrm{.}501\mathrm{.}00$

 

Required number of machine hours $4\mathrm{.}002\mathrm{.}502\mathrm{.}00$

 

Blossom has determined it can sell a limited number of each table in the upcoming year. Expected demand for each model follows:

 

 

Table A $60,000$ units

 

Table B $20,000$ units

 

Table C $20,000$ units

 

Required:

 

 

$1.$Suppose direct labor hours have been identified as the bottleneck resource. Determine how Blossom should prioritize production by rank, i$.$e$.,$ ordering the products from $1$ to $3.$

 

$2.$If Blossom has only $50,000$ direct labor hours available, calculate the number of units of each table Blossom should produce to maximize its profit.

 

$3.$Suppose the number of machine hours has been identified as the most constrained resource. Determine how Blossom should prioritize production by rank, i$.$e$.,$ ordering the products from $1$ to $3.$

 

$4.$If Blossom has only $246,000$ machine hours available, calculate the number of units of each table Blossom should produce to maximize its profit.