Problem No $1($Special order$)$

The Modern Packing Corporation $($MPC$)$ specializes in the manufacture of one$-$liter

plastic bottles. The plastic molding machines are capable of producing $100$ bottles per

hour. The firm estimates that the variable cost of producing a plastic bottle is $25$ cents.

The bottles are sold for $55$ cents each.

Management has been approached by a local toy company that would like the firm to

produce a molded plastic toy for them. The toy company is willing to pay $$3$ per unit for

the toy. The unit variable cost to manufacture the toy will be $$2\mathrm{.}40.$ In addition, MPC

would have to incur a cost of $$20,000$ to construct the mold required exclusively for this

order. Because the toy uses more plastic and is of a more intricate shape than a bottle, a

molding machine can produce only $40$ units per hour. The customer wants $100,000$

units. Assume that MPC has a total capacity of $10,000$ machine$-$hours available during

the period in which the toy company wants delivery of the toys. The firm's fixed costs,

excluding the costs to construct the toy mold, during the same period will be $$200,000.$

Required:

Suppose the demand for its bottles is $750,000$ units, and the special toy order has to

be either taken in full or rejected totally. Should MPC accept the special toy order?

Explain your answer.

Suppose the demand for its bottles is $850,000$ units, and the special toy order has to

be either taken in full or rejected totally. Should MPC accept the special toy order?

Explain your answer.

Suppose the demand for its bottles is $850,000$ units, and MPC can accept any quantity

of the special toy order. How many bottles and toys should it manufacture?

could you help me in answer this qustion $($if it possible to answer it like table incloud accept and rejected coloum $)$