A company purchases cases of fertilizer for its lawn-care business from a supplier who charges C&A $30 per order and $55 per case. Each case consists of four bags of fertilizer. The company needs 2200 bags of fertilizer a year. Annual holding costs are 28%. Respond to the following questions. (Use 2 decimals )
a. How many cases of fertilizer should the compay order from its supplier with each order to minimize the total ordering and holding cost?
b. How many orders does the company places per year ?
c. What is the company's average inventory ?
d. if the order quantity is 50 cases , how many orders does the company places per year ?
e. If the order quantity is 150 cases, what is the company's average inventory?