Wolve Corp. is working at full production capacity producing $10,000$ units of a unique product, AutoA. Manufacturing costs per unit forAutoA are followsDirect materials is $$2$Direct manufacturing labour is $$3$Manufacturing overhead is $$5.$The unit manufacturing overhead cost is based on a variable cost per unit of $$2$ and fixed costs of $$30,000)($at full capacity of $10,000$ units$)$inunitsThe nonmanufacturing costs, all variable, are $$4$ per unit, and the selling price is $$20$ per unit.A customer, the Lionn Co$.,$ has asked Wolve to produce $2,000$ units$)$ of a modification of AutoA, to be called Robo T Robo I would require the same manufacturing processes$)$ as AutoA, and the Lionn Co$.$ has offered to share equally the monmanufacturing costs with Wolve. Robo$\_$T will sell at $$15$ per unit.Required$1.$ How many units are at the break$-$even point?Target profit$1.$ If you want to get a profit of $$5,000,$ how many units you have to sell?$2.$ What is the opportunity cost to Wolve of producing the $2,000$ units of Robo T$?3.$ The Foxx Corp. has offered to produce $2,000$ units of AutoA for Wolve so that Wolve may accept the Robo$\_$T offer. Foxx would charge Wolve $$14$ per unit for the AutoA. Should Wolve accept the Foxx offer?$($Show your calculations$)5.$ Suppose Wolve had been working at less than full capacity, producing$8,000$ units of AutoA at the time the Robo$\_$T offer was made. What is the minimum price Wolve should accept for Robo$\_$T under these conditions?