Fruit Ltd makes $3$ types of products: Cherry, Blueberry and Strawberry. Extracts from the budget for the next year are as follows : Cherry Blueberry Strawberry Demand and production $($units$)2,0003,0004,00\mathrm{0. }$The following information is per unit of each product Per unit Cherry Blueberry Strawberry AED AED AED Selling price $174340308$ Materials $30806\mathrm{0 }$Labour $4010080$ Variable overhead $24604\mathrm{8 }$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 realized  that there will only be $35,000$ seeds available next year. Calculate the production plan that will maximize profit for Fruit Ltd for the next year. State what that plan will be