Cuddly Limited makes stuffed toys. The RAK factory manufactures Camel, Oryx and Falcon.The following information is per unit of each product Camel Oryx Falcon Demand units $30,00040,00020,000$AED AED AED Selling price $8\mathrm{.}009\mathrm{.}0010\mathrm{.}00$ Direct Materials $2\mathrm{.}002\mathrm{.}005\mathrm{.}00$ Direct labour $3\mathrm{.}004\mathrm{.}501\mathrm{.}50$ Variable overhead $1\mathrm{.}001\mathrm{.}001\mathrm{.}00$ Fixed overhead $1\mathrm{.}001\mathrm{.}001\mathrm{.}50$At maximum capacity, $40,000$ labour hours are available. Labour is paid at $6$ per hour. Total fixed costs are $100,000$

Required:a$.$ calculate the production plan that will maximise profit for the next year

b$.$ prepare a marginal costing statement to show the profit that will be made using yourproduction plan

c$.$ if the company has already committed to supplying $30,000$ Oryx to a long termcustomer then what is the new production plan?