A firm with market power has an individual consumer demand of Q = 20 − 2P and total costs of C = 3Q. What is the optimal amount of this product to package in a single block
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A firm with market power has an individual consumer demand of Q = 20 − 2P and total costs of C = 3Q. What is the optimal amount of this product to package in a single block?
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- Imagine the demand function for your firm’s product is q = 1500 – 4P. How much is the Total revenue when q=100?Best Orange Juice Company is located in Oman. The cost function for total orange juice production (x) is given by C(q) = 0.25x2. Their orange juice is demanded only in Muscat (Muscat demand is xm= 100-2Pm) and Salalah (Salalah demand is xs= 100-4Ps). Therefore, the total demand is x=xm+ xs. If the company can control the quantities supplied to each market, how many should it sell in each location to maximize total profits? What price would it charge in each location?Q1: Analytical part - 8% Best Orange Juice Company is located in Oman. The cost function for total orange juice production (x) is given by C(q) = 0.25x2. Their orange juice is demanded only in Muscat (Muscat demand is Xm- 100-2Pm) and Salalah (Salalah demand is X 100-4Ps). Therefore, the total demand is x-xm+ Xs. If the company can control the quantities supplied to each market, how many should it sell in each location to maximize total profits? What price would it charge in each location? Answer:
- Maximum Revenue Jesaki Electronics manufactures and sells a smartphones per week. The weekly price-demand and cost equations are, respectively, p= 536 - 0.40 x and C(x) = 19,932 + 23 x. Suppose Jesaki Electronics wants to maximize weekly revenue. Compute the following quantities. 1. How many phones should be produced each week? phones. Round to 2 decimal places. 2. What price should Jesaki charge for the phones? $ per phone. Round to the nearest cent. 3. What is the maximum weekly revenue? $ per week. Round to the nearest cent. Enter the result for 1. 11:3. N 34% 11/15 Prisc Insert Delete C F6 F8 F9 F10 F11 F12 & * Backspace Num Lock 5 8 + IIGiven - p=35−0.5QTC=0.5Q2+5Q A)What is the profit function? Can it be maximized? B)What is profit maximizing quantity and price? C)What is the maximum possible profit? D)What are the break-even quantities? E)What quantity minimizes total cost? What is minimum total cost?The demand curve of a firm is p=1200– 21q and its total cost is C(q) = 2q – 66q² +600q+1000 where q is the output of the firm (in thousands). (i) Derive an expression R(q) for the firm' s revenue function. (ii) Derive an expression II(q) for the firm' s profit function. (iii) Is the rate of change of profit increasing or decreasing when the output level of the firm is 10,000 units?
- A demand of 230 banquet attendees can be expected at a dinner plate price of $80.00 each. A demand of 370 banquet attendees can be expected at a dinner plate price of $45.00 each. Catering Service A has a fixed cost of $1,800 and a marginal cost of $30 for each plate. Catering Service B has a fixed cost of $2,500 and a marginal cost of $22 for each plate. Costs for both caterers include the food, drinks, plates, utensils, tablecloths, glasses, crew, and cleanup. Dinner plates will only be sold as an entire unit. To justify company resources and to ensure the event will benefit the charity, the CEO insists the tickets be sold for no less than $40. All profits will go toward a charity of the committee's choosing. Additional spontaneous donation to the charity will be accepted the night of the banquet. Studies estimate that 5% will give $5, 23% will give $20, 18% will give $50, 7% will give $100, and 2% will give $500. If it is projected that there will be 100 tickets sold at a dinner…A demand of 230 banquet attendees can be expected at a dinner plate price of $80.00 each. A demand of 370 banquet attendees can be expected at a dinner plate price of $45.00 each. Catering Service A has a fixed cost of $1,800 and a marginal cost of $30 for each plate. Catering Service B has a fixed cost of $2,500 and a marginal cost of $22 for each plate. Costs for both caterers include the food, drinks, plates, utensils, tablecloths, glasses, crew, and cleanup. Dinner plates will only be sold as an entire unit. To justify company resources and to ensure the event will benefit the charity, the CEO insists the tickets be sold for no less than $40. All profits will go toward a charity of the committee's choosing. Additional spontaneous donation to the charity will be accepted the night of the banquet. Studies estimate that 5% will give $5, 23% will give $20, 18% will give $50, 7% will give $100, and 2% will give $500. Find the Profit function, P(x) , for each of the two possible…Round off your final answer to whole #. A company produces and sells a consumer product and is able to control the demand by varying the selling price. The approximate relationship between price and demand is p=45 + 2700/D - 5000/D2 for D > 1 The company is seeking to maximize its profit. The fixed cost is $1,000 and the variable cost is $38 per unit. What is the number of units that should be produced and sold each month to maximize profit?
- A firm's demand function is Q = 16 – P and its total cost function is defined as TC = 3 + Q +0.25Q2. Use these two functions to form the firm's profit function and then determine the level ofoutput that yields the profit maximum. What is the level of profit at the optimum?Given cost and price (demand) functions C(q)=110q+45,000 and p(q)=−1.8q+900, What price should be set to maximum profit? It should be $enter your response here per item. (Round answer to nearest cent.)Teddy J is a manufacturer of dish washing liquid . If his monthly demand function for 750ml size is q = 4000 − 250p and his total cost function is C(q) = 500 + 0.2q.How many 750ml bottles of dishwashing liquid should TeddyJ produce per month if he wishes to maximize his profits?