Using the Economic order quantity formula, answer the following questions:

Problem $1$

The aluminum material for a canning plant is used uniformly throughout the year.$$ The date for the material is given below:

Annual requirement: $4,800$ units

Order costs: $$15$ per order$$

Holding Costs: $$0\mathrm{.}25$ per unit

Calculate EOQ of the aluminum material.

Problem $2$

John Sports Inc. purchases tennis balls at $$20$ per dozen from its suppliers. John Sports will sell $34,300$ dozens of tennis balls evenly throughout the year. The total cost to handle a purchase order is $$10.$ The insurance, property tax, and rent for each dozen tennis balls in the average inventory is $$0\mathrm{.}40.$ The company wants a $5\%$ return on average inventory investment.

Calculate the economic order quantity.

Compute the total annual inventory expenses to sell $34,300$ dozens of tennis balls if orders are placed according to economic order quantity computed in part $1.$

Problem $3$

Demand for the Child Cycle at Best Buy is $350$ units per month. Best Buy incurs a fixed order placement, transportation, and receiving cost of $$3,500$ each time an order is placed. Each cycle costs Rs$.500$ and the retailer has a holding cost of $20$ percent.

Evaluate the number of computers that the store manager should order in each replenishment lot?

Problem $4$

ULine Ltd$.$ uses EOQ logic to determine the order quantity for its various components and is planning its orders. The Annual consumption is $80,600$ units, the Cost to place one order is $$1,200,$ the Cost per unit is $$40,$ and the carrying cost is $8\%$ of the Unit cost.

Find EOQ,

No$.$ of order per year

Ordering Cost

Carrying Cost

Total Cost of Inventory