Fruit Ltd makes $3$ types of products: Cherry, Blueberry and Strawberry. Extracts from thebudget for the next year are as follows:Cherry Blueberry StrawberryDemand and production $($units$)2,0003,0004,000$The following information is per unit of each productPer unit Cherry Blueberry StrawberryAED AED AEDSelling price $174340308$Materials $308060$Labour $4010080$Variable overhead $246048$Each product uses a standard material component called a seed. Seeds are $10$ AED per unit.The company expects the total fixed cost budget to be AED $120,000$Required:Part $($a$).$It has now been realised that there will only be $35,000$ seeds available next year.Calculate the production plan that will maximise profit for Fruit Ltd for the next year. Statewhat that plan will be $($All workings must be shown$)$