A local bakery is planning the expansion of its bread-making capacity for the next 5 months. Currently, it can make 5000 loaves per month, but it forecasts its monthly demands to be as given in table

	Month 1	Month 2	Month 3	Month 4	Month 5
Demand	5500	6500	8000	8500	9500

It can increase its current capacity by installing ovens of three di erent sizes. Each has a one-time

purchase cost and a monthly usage cost as given below, and only one oven of each size is available. Note that an oven can be purchased in any month but once an oven is purchased, the monthly usage cost is incurred regardless of the extent to which the oven is in use.

Oven	Monthly Capacity	Purchase Cost	Monthly Usage Cost
Small	1000	$300	$75
Medium	2000	$500	$100
Large	3500	$1000	$125

Formulate and solve an IP that determines when (and which) an oven must be bought, if the intention is to minimize cost