Head$-$First Company plans to sell $5,000$ bicycle helmets at $$70$ each in the coming year. Unit variable cost is $$49($includes direct materials, direct labour, variable overhead, and variable selling expense$).$ Total fixed cost equals $$29,400($includes fixed factory overhead and fixed selling and administrative expense$).$ Requirements: $1.$ Calculate the number of helmets Head$-$First must sell to earn operating income of $$81,900$ before income taxes $($ie$,$ ignore income taxes$).2.$ Calculate the sales revenue that Head$-$First must make to earn operating income of $$81,900$ before income taxes $($ie$,$ ignore income taxes$).3.($a$)$ Calculate the margin of safety in terms of the number of units at $5,000$ units sold. $($b$)$ Calculate the margin of safety in terms of sales revenue at $5,000$ units sold. $4.$ For Head$-$First Company, operating income at $5,000$ units sold is $$75,600.$ Calculate the degree of operating leverage at this level of sales. $($Round your answer to the nearest tenth.$)5.$ Now assume that Head$-$First expects to increase sales by $15\%$ next year. Calculate the percent change in operating income expected, and calculate the operating income expected next year using the percent change in operating income calculated in Requirement $1.6.$ For this requirement, ignore the above facts and assume instead that assume that Head$-$First Company now sells both bicycle helmets and motorcycle helmets. The bicycle helmets are priced at $$70$ and have variable costs of $$49$ each. The motorcycle helmets are priced at $$220$ and have variable costs of $$143$ each. Total fixed costs for Head$-$First as a whole equal $$54,600($includes all fixed factory overhead and fixed selling and administrative expense$).$ Next year, Head$-$First expects to sell $5,000$ bicycle helmets and $1,000$ motorcycle helmets. $($a$)$ Create a package $($or bundled product$)$ of bicycle and motorcycle helmets based on the desired sales mix, and calculate the package contribution margin. Calculate the break$-$even point in units for bicycle helmets and units for motorcycle helmets. $($b$)$ Check your answer by preparing a contribution margin income statement.