profit function for a skateboard manufacturer is given by P X is equals to 30 x minus 3 x square - 250 find the exact profit from the 13th create board
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profit function for a skateboard manufacturer is given by P X is equals to 30 x minus 3 x square - 250 find the exact profit from the 13th create board
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- It costs a pharmaceutical company 75,000 to produce a 1000-pound batch of a drug. The average yield from a batch is unknown but the best case is 90% yield (that is, 900 pounds of good drug will be produced), the most likely case is 85% yield, and the worst case is 70% yield. The annual demand for the drug is unknown, with the best case being 20,000 pounds, the most likely case 17,500 pounds, and the worst case 10,000 pounds. The drug sells for 125 per pound and leftover amounts of the drug can be sold for 30 per pound. To maximize annual expected profit, how many batches of the drug should the company produce? You can assume that it will produce the batches only once, before demand for the drug is known.The Math Club is selling pies on March 14th as a fundraiser. Let Q be the number of pies they make and sell. The total cost, C(Q) in dollars, for making Q pies is given by: C(Q) = 36 + 2Q. Sales price is 5 dollars for each pie. What is the total cost of making 20 pies?Your objective function is the following MAX 15 A + 10 B Find the endpoints for an iso-profit line of $600
- The Math Club is selling pies on March 14th as a fundraiser. Let Q be the number of pies they make and sell. The total cost, C(Q) in dollars, for making Q pies is given by: C(Q) = 36 + 2Q. The sales price is 5 dollars for each pie. What is the fixed costs of making pies?An analyst is constructing a simple model to determine the gross and net profit of a product, given its profit per unit, quantity sold, and the total costs assigned to the product. The calculation for gross profit is Profit per Unit times Quantity. The calculation for Net Profit is Gross Profit minus Total Costs. A B 1 2 Profit per Unit 2 3 Quantity 19,400 4 Gross Profit 5 6 Total Costs 9,600 7 8 Net Profit With the values for Profit per Unit, Quantity, and Total Costs shown above, what should the model return for the following calculated cells4. A publisher prints copies of a popular weekly tabloid for distribution and sale. The fixed costs are $500 per print run, with each copy printed costing an additional $0.40. If C(q) is the cost function (in $) of the price of the print run as a function of copies printed, what is the formula for C(q)? Select one: a. C(q) = 500 + 0.4q b. C(q) = 500q + 0.4 c. C(q) = (500 + 0.4)q d. C(q) = 500 - 0.4q e. C(q) = 500q - 0.4 5. A hot dog vendor sells an average of 50 hot dogs during a Little League baseball game. If the sales are Normally distributed with a standard deviation of 7 hot dogs, what is the probability the vendor will sell between 45 and 65 hot dogs? Select one: a. 74.50% b. 92.36% c. 99.78% d. 174.50% e. 2.14 f. -0.71 g. 0.71
- Choose the correct letter of answer If your objective is to maximize the profit for products x and y which earns a contribution margin of P2 and P3 respectively, your objective function must be: *a. P = 3x + 2yb. P = 2x + 3yc. P = x + y d. none of the aboveThe manager of a small firm is considering whether to produce a new product that would require leasing some special equipment at a cost of$20,000 per month. In addition to this leasing cost, a production cost of$10 would be incurred for the first 1000 units (including the 1000th unit). After that, a production cost of$15 would be incurred for the rest. Each unit sold generates$20 in revenue. Determine how many units should be produced each month to make it profitable to produce this product.For Lodes Company, the relevant range of production is 40–80% of capacity. At 40% of capacity, a variable cost is $4,000 and a fixed cost is $6,000. Explain the behavior of each cost within the relevant range assuming the behavior is linear.
- A firm has revenue function given by R=10Q where R=Gross Revenue and Q=Numberof Units Sold, Production Cost function is given byC = 20000+ 50(Q/800)^2Find:(i) the total Profit function, and(ii) the number of Units (Q) to be sold to get the maximum ProfitAssume the demand for a company’s drug Wozac during the current year is 50,000, and assume demand will grow at 5% a year. If the company builds a plant that can produce x units of Wozac per year,it will cost $16x. Each unit of Wozac is soldfor $3. Each unit of Wozac produced -incurs a variable production cost of $0.20. It costs $0.40 per year to operate a unit of capacity.Determine how large a Wozac plant the company should build to maximize its-expected profit over the next 10 years.AutoTime, a manufacturer of electronic digital timers, has a monthly fixed cost of $50,000 and a production cost of $7 for each timer manufactured. The timers sell for $15 each. (a) What is the cost function C(x)?C(x) = (b) What is the revenue function R(x)?R(x) = (c) What is the profit function P(x)?P(x) = (d) Compute the profit (loss) corresponding to production levels of 3000, 6000, and 11,000 timers, respectively. (Input a negative value to indicate a loss.) 3000 timers $ 6000 timers $ 11,000 timers $