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$55006500800085009500$Tap the table to full screenIt can increase its current capacity by installing ovens of three di erent sizes. Each has a one$-$timepurchase 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 usagecost is incurred regardless of the extent to which the oven is in use.OvenMonthly CapacityPurchase CostMonthly Usage CostSmall$1000$$$300$$$75$Medium$2000$$$500$$$100$Large$3500$$$1000$$$125$Tap the table to full screenFormulate and solve an IP that determines when $($and which$)$ an oven must be bought, if the intentionis to minimize cost