Assume that B = -Q² + 4,500Q and C= 2Q are the benefits and costs of increasing the units of X-brand energy drink (in a 500 ml bottle). A. What is the profit function of X-brand energy drink production? B. What is the profit-maximizing value of Q? Solve the problem using a tabular solution, showing the Profit, MB, MC and MNB values; assume Q varies by 50 units (in 500 ml bottle). Highlight the profit maximizing level.
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- Again, holding the other variables constant, what would be the saving in per-student operating expenditures of an increase in enrollment from 500 to 1,000?Consider the accompanying breakeven graph for an investment, and answer the following questions.(a) Give the equation for total revenue for x units per year. (b) Give the equation for total costs for x units per year. (c) What is the “breakeven” level of x? (d) If you sell 1500 units this year, will you have a profit or loss? How much? (e) At 1500 units, what are your marginal and average costs?A company has determined that the price and the monthly demand of one of its products are related by the equation D = (400 - P)1/2 , where p is the price per unit in dollars and D is the monthly demand. If the associated fixed costs are $1,125/month, and the variable costs are $100/unit, what is the optimal number of units that should be produced and sold each month to maximize the profit?
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