Please solve and show all work!

5. [ohn decides to sell latte. whid'l needs steamed milk and espresso. 'Ihe produeljon function Is: 1! = ED mn(57i1. Ills)\"-5 where. m steamed mill: In cups, e espresso in shots, i latte in cups. Doe cup of steamed milk costs 1|] tents and one shot ofespresse ousts 2|] cents. [a] Beriue ]ohn's total cost Mutual] and prot funcon. Show your work. [h] if john sells in the competitive market and the price fsreup oflatte is $6.illl]. solve for the opma] cups of late that john should make to maximize prot What is his profit? [t] lfprire for the latte falls to $4.00. what will he his new prot and the output? Graph {ohn's supply curve for the latte and show the decrease In prot