Brief Exercise $7-17$ Units to Earn Target Income

Head First Company plans to sell $5,000$ bicycle helmets at $$75$ cach in the coming year. Unit variable cost is $$45($includes direct materials, direct labor, variable factory owerhead, and variable selling expense$).$ Toual fixed cost equals $$49\mathrm{.}506($includes fixed factory overhead and fixed selling and administrative cxpense$).$

Required:

Calculate the munber of helmets Head. First must sell ta carn operating incomc of $$81\mathrm{.}900.$

Check your answer by preparing a conTribution margin income statement based on the number of units calculated.