Becky Bright, the President of Brighter Products, LLC$,$ is planning

to prepare an aggregate plan. The company manufactures desk lamps

in a contemporary style. The capacity of the plant is $1,500$ lamps per

month and it takes $30$ minutes to make a lamp. At the beginning

of July, they find that they have no lamps in the warehouse. The

company pays their workers $$20$ per hour for regular shift work and

$$30$ for overtime. The materials cost $$15$ per unit. The inventory

carrying cost is $$15$ per unit. Becky hires only bright talent and does

not want to lay off workers as she can assign them to other jobs.

Hiring costs are $$150$ per worker at their plant.

a$.$ Develop an aggregate plan with following demand.

b$.$ Ms$.$ Bright wants to consider an alternative plan with no overtime

but use a subcontractor who can deliver excess products required

at $$25$ per unit. Would this alternative plan cost less for Brighter

Products? Answer only Question B$,$ don't use chatgpt or any AI or I will report you to chegg, thank you for your help.