Multiple$-$Product Break$-$Even and Target Profit

Vandenberg, Inc., produces and sells two products: a ceiling fan and a table fan. Vandenberg plans to sell $20,000$ ceiling fans and $70,000$ table fans in the coming year. Product price and cost information includes:

Common fixed selling and administrative expenses total $\backslash$$$96,000.$

Required:

$1.$ What is the sales mix estimated for next year $($calculated to the lowest whole number for each product$)?$

Sales mix of ceiling fans to table fans $=$

$2.$ Using the sales mix from Requirement $1,$ form a package of ceiling fans and table fans. How many ceiling fans and table fans are sold at break$-$even?

Round your intermediate calculations and final answers to the nearest whole number.

Break$-$even ceiling fans

Break$-$even table fans

$4.$ What if Vandenberg, Inc., wanted to earn operating income equal to $\backslash (\backslash$$ $12,000\backslash )?$ Calculate the number of ceiling fans and table fans that must be sold to earn this level of operating income. $($Hint: Remember to form a package of ceiling fans and table fans based on the sales mix and to first calculate the number of packages to earn an operating income of $\backslash (\backslash$$ $12,000\backslash ).)$ Round your intermediate calculations and final answers to nearest number.

Break$-$even ceiling fans

Break$-$even table fans