Manol is a final year student at Bath Spa University. He would like to set up a milk shake bar on campus. He has had some experience working in a pub and is confident with his skills of making drinks. But Manol hasn$$t had any experience in setting up a business. He is taking some advice from you who are studying the degree in Business and Management.

Requirements

A$.$ Manol needs to fix a menu. He wants to know the most popular blends of milk shakes among the students. Explain to Manol the best data sources to get this information and list three methods that he can use to collect the information. $[4$ marks$]$

B$.$ Manol collected the following data using one of the suggested methods. He reproduced the raw data into the table:

Blends of Milk Shakes No$.$ of votes

Plain vanilla $35$

Strawberry $32$

Diary cream $7$

Mint and chocolate $31$

Banana $15$

Mint and vanilla $33$

Oreo vanilla $78$

Smarties $45$

Raspberry $14$

i$.$ Create a chart to show the number of votes for each milk shake blend. $[2$ marks$]$

ii$.$ What is the most popular milk shake blend? And how much is the relative frequency of this most liked milk shake? $[2$ marks$]$

C$.$ After the initial market research, Manol decided to offer $2$ milk shakes on his menu. They are Mint and Chocolate and Oreo vanilla blends in medium$-$sized cup. Manol will rent the university onsite bar and make the milk shakes himself.

One medium$-$sized Mint and Chocolate milk shake requires $220$g $(0\mathrm{.}22$kg$)$ of vanilla ice cream and $25$ml $(0\mathrm{.}025$L$)$ of chocolate syrup. One medium$-$sized Oreo Vanilla milk shake requires $160$g $(0\mathrm{.}16$kg$)$ of vanilla ice cream and $35$g $(0\mathrm{.}035$kg$)$ of Oreo biscuits. One portion of Mint and Chocolate milk shake also consumes $55$g $(0\mathrm{.}055$kg$)$ of ice cubes while one portion of Oreo vanilla milk shake uses $70$g $(0\mathrm{.}07$kg$)$ of ice cubes. It takes Manol $3$ minutes to make $1$ portion of Mint and Chocolate milk shake and $3$ minutes and $30$ seconds to make a portion of Oreo Vanilla milk shake. Manol wants to make at least $75$ portions of Oreo Vanilla milk shake and at least $35$ portions of Mint and Chocolate milk shake every week, respectively.

Every Mint and Chocolate milk shake makes $2\mathrm{.}3$ gross profit and Oreo Vanilla milk shake makes $3\mathrm{.}2$ gross profit.

Every week, Manol plans to open for business for $20$ hours. He wants to order the minimum number of raw materials from the wholesaler at the beginning of the business. The wholesaler requires the weekly minimum order.

Unit: Kg and L

Vanilla ice cream Chocolate syrup Oreo Ice cubes

$60$kg $6$L $8$kg $18\mathrm{.}5$kg

Manol can sell as much as he can produce every week according to the initial market research. Based on the information above, please help Manol to find the optimal strategy $($i$.$e$.,$ the maximum gross profit Manol could achieve every week$).[14$ marks$]$

D$.$ Based on your answer above, what are the surplus raw materials every week and how much are the leftovers? Can you give some advice to utilize the leftovers?