Husky Crafts currently sells motorboats for $$60,000.$ It has costs of $$46,500.$ A competitor is bringing a new motorboat to the market that will sell for $$55,000.$ Management believes it must lower the price to $$55,000$ to compete in the market for motorboats. Marketing believes that the new price will cause sales to increase by $12\mathrm{.}5\%,$ even with a new competitor in the market. Husky Crafts' sales are currently $2,000$ motorboats per year. Required: a$.$ What is the new target cost if target operating income is $25\%$ of sales? $(3)$ b$.$ What is the change in operating income if marketing is correct and only the sales price is changed? $(3)$ c$.$ What is the target cost if the company wants to maintain its same income level, and marketing is correct? $(3)$