8) Mark derives utility from watching movies and from playing computer games according to the utility function U(c, m) = 6c¹/³m¹/2, where c is the number of hours he plays games and m is the number of hours he watches movies. He has 15 hours per day to divide between these two activities. Write down Mark's constrained utility maximization problem and his Lagrangian function. Derive the first order conditions and find the candidate solution (c*, m*).

What are the potential risks associated with operating an online venture that sells imported coffee beans from Hondouras?

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Bags/Participants Fixed Cost Variable Cost Total Cost 0 $1,700 $ - $1,700 100 $1,700 $500 $2,200 200 $1,700 $1,200 $2,900 300 $1,700 $2,700 $4,400 400 $1,700 $5,200 $6,900 500 $1,700 $9,000 $10,700 600 $1,700 $15,000 $16,700 700 $1,700 $23,800 $25,500 800 $1,700 $36,800 $38,500 900 $1,700 $55,800 $57,500 1,000 $1,700 $83,000 $84,700   Given the above information on cost, if you charge $15 per entry, what is the breakeven quantity of bags that you should order?  At what quantity of bags will profits be maximized? A   Use the profit maximizing rule, MR ≥ MC, buy 300 bags. B   Use the profit maximizing rule, MR ≥ MC, buy 200 bags. C   Use Qb = F/(MR-AVC) where Qb is the breakeven quantity to be determined, the optimal quantity of bags is 300. D   Use Qb = F/(MR-AVC) where Qb is the breakeven quantity to be determined, the optimal quantity of bags is 200.