The menu mix percentage for Jo is 0.709j, where j represents Jo's contribution to total drinks sold.
How to solve
To calculate the menu mix percentage for Jo, we need to determine the proportion of total CM contributed by Jo.
Calculate the total CM for all drinks except scotch:
Total CM without scotch = Total CM - CM for scotch
Total CM without scotch = $6,146.19 - $1,800
Total CM without scotch = $4,346.19
Calculate the total CM for Jo:
CM for Jo = (Jo's contribution to total drinks sold) * (Total CM without scotch)
Assuming Jo's contribution to total drinks sold is represented by 'j', we have:
CM for Jo = j * $4,346.19
Calculate the menu mix percentage for Jo:
Menu mix percentage for Jo = (CM for Jo) / (Total CM)
Menu mix percentage for Jo = (j * $4,346.19) / $6,146.19
Simplify the expression:
Menu mix percentage for Jo = 0.709j
Therefore, the menu mix percentage for Jo is 0.709j, where j represents Jo's contribution to total drinks sold.
The Complete Question
Given:
Total drinks sold: 1700
Number of categories: 8
Total number of brands: 37
Total CM (Contribution Margin): $6,146.19
CM for scotch: $1,800
Objective:
Calculate the menu mix percentage for Jo.