QUESTION $1$

The Quisine baking company has a reputation for producing gourmet cocoa baking powder, and for many years has sold old two brands: "Premium" and "Regular". During this past year they launched a low$-$end version of their baking powder called "Budget". The Budget brand requires less processing time, more lower quality cocoa and cocoa$-$like raw ingredients. While consumers initially gave mixed reviews of the new Budget brand, Quisine Baking Company sold $200,000$ boxes during the year. Financial information for the year is as follows:

$\backslash$table$[[$BUDGET$,\backslash$table$[[$Selling Price$],[$per box $($in $$)]],\backslash$table$[[$Variable Cost$],[$per box $($in $$)]],\backslash$table$[[$Boxes Sold$],[($in boxes$)]]],[$Budget$,2\mathrm{.}00,1\mathrm{.}02,0],[$Regular$,3\mathrm{.}00,1\mathrm{.}40,250,000],[$Premium$,4\mathrm{.}00,3\mathrm{.}00,350,000]]$

$\backslash$table$[[$ACTUAL$,\backslash$table$[[$Selling Price$],[$per box $($in $$)]],\backslash$table$[[$Variable Cost$],[$per box $($in $$)]],\backslash$table$[[$Boxes Sold$],[($in boxes$)]]],[$Budget$,2\mathrm{.}01,1\mathrm{.}00,300,000],[$Regular$,3\mathrm{.}03,1\mathrm{.}39,190,000],[$Premium$,5\mathrm{.}00,3\mathrm{.}03,250,000]]$

The total market size was estimated to be $5$ million boxes. During the year, there were $6$ million boxes sold.

Required:

a$.$ Calculate the Sales Mix, Sales Quantity and Sales Volume Variance for each product, and the three products as a total.

b$.$ Calculate the Market Share and Market Size variance.

c$.$ Should they continue to make the Budget brand? This assessment should be based on both qualitative and quantitative factors $($such as how sales of the Budget brand effect sales of other products$).$