Time left $0$:$19$:$03$

F$100$ Gym Ltd is a boutique gym chain that operates in Sydney area. F$100$ Gym offers an annual membership at a price of $$9,000.$

After a customer pays an up$-$front cash payment of the annual membership fee, the customer will be entitled to ten $(10)$ Pilates lessons per month for $12$ months, ten $(10)$ personal training sessions per month for $12$ months and twenty $(20)$ yoga sessions per month for $12$ months. The standalone prices of these services are listed below.

$\backslash$table$[[$Service$,$Price$],[$Ten $(10)$ Pilates lessons for $12$ months,$$3,600$ per person$],[\backslash$table$[[$Ten $(10)$ personal training sessions per month$]]\{$f$03872227-9$b$2$e$-4$fbb$-$af$3$b$-34066397394$f$\}$ person,$],[$for $12$ months,$],[\backslash$table$[[$Twenty $(20)$ yoga sessions per month for $12],[$months$]],$$$7,200$ person$]]$

F$100$ Gym Ltd is a reporting entity, has adopted AASB$15$: Revenue from contracts with customers and has a $30$ June year end.

Required:

On $1$ July $2022$ Lana purchased an annual membership and paid a total up$-$front membership fee of $$9,000.$ The membership fee is non$-$refundable. Considering AASB$15$:

Explain whether a contract exists between F$100$ Gym Ltd and Lana.