$1.$ Compute the company$$s CM ratio and its break$-$even point in unit sales and dollar sales. $($Do not round intermediate calculations. Round $"$CM ratio" to the nearest whole percentage $($i$.$e$.,0\mathrm{.}234$ should be entered as $"23").$

$2.$ The president believes that a $$6,700$ increase in the monthly advertising budget, combined with an intensified effort by the sales staff, will increase unit sales and the total sales by $$88,000$ per month. If the president is right, what will be the increase $($decrease$)$ in the company$$s monthly net operating income? $($Do not round intermeRefer to the original data. The sales manager is convinced that a $10\%$ reduction in the selling price, combined with an increase of $$33,000$ in the monthly advertising budget, will double unit sales. If the sales manager is right, what will be the revised net operating income $($loss$)?($Losses should be entered as a negative value.$)$

$4.$ Refer to the original data. The Marketing Department thinks that a fancy new package for the laptop computer battery would grow sales. The new package would increase packaging costs by $$0\mathrm{.}70$ per unit. Assuming no other changes, how many units would have to be sold each month to attain a target profit of $$4,700?($Do not round intermediate calculations. Round final answer up to the nearest whole unit.$)$

$5.$ Refer to the original data. By automating, the company could reduce variable expenses by $$3$ per unit. However, fixed expenses would increase by $$50,000$ each month. Compute the new CM ratio and the new break$-$even point in unit sales and dollar sales. $($Do not round intermediate calculations. Round $"$CM ratio" to the nearest whole percentage $($i$.$e$.,0\mathrm{.}234$ should be entered as $"23"),$ round "Break$-$even point in unit sales" up to the nearest whole unit and round $"$ Break$-$even point in unit sales" up to the nearest whole unit and round "Break$-$even point in dollar sales" to the nearest whole dollar.$)$

$5$b$.$ Refer to the original data. By automating, the company could reduce variable expenses by $$3$ per unit. However, fixed expenses would increase by $$50,000$ each month. Assume that the company expects to sell $20,800$ units next month. Prepare two contribution format income statements, one assuming that operations are not automated and one assuming that they are. $($Show data on a per unit and percentage basis, as well as in total, for each alternative.$)($Do not round your intermediate calculations. Round your percentage answers to the nearest whole number.$)$

$5$c$.$ Refer to the original data. By automating, the company could reduce variable expenses by $$3$ per unit. However, fixed expenses would increase by $$50,000$ each month. Would you recommend that the company automate its operations $($Assuming that the company expects to sell $20,800$ units$)?$