Alton Incorporated is working at full production capacity producing $37,000$ units of a unique product. Manufacturing costs per unit for the product are as follows:

Direct materials $ $8$

Direct labor $7$

Manufacturing overhead $9$

Total manufacturing cost per unit $ $24$

The per$-$unit manufacturing overhead cost is based on a $$6$ variable cost per unit and $$111,000$ fixed costs. The nonmanufacturing costs, all variable, are $$6$ per unit, and the sales price is $$65$ per unit.

Sports Headquarters Company $($SHC$)$ has asked Alton to produce $6,000$ units of a modification of the new product. This modification would require the same manufacturing processes. However, because of the nature of the proposed sale, the estimated nonmanufacturing costs per unit are only $$3($not $$6).$ Alton would sell the modified product to SHC for $$50$ per unit.

Required

$1-$a$.$ Calculate the contribution margin for $6,000$ units for both the current and special order.

$1-$b$.$ Should Alton produce the special order for SHC$?$

$2.$ Suppose that Alton Incorporated had been working at less than full capacity to produce $31,300$ units of the product when SHC made the offer. What is the minimum price per unit that Alton should accept for the modified product under these conditions?