A toy manufacturer makes lightweight balls for indoor play. The large basketball uses 4 ounces of foam and 20 minutes of labor and brings a profit of $2.50. The football uses 3 ounces of foam and 30 asubr and brings a profit of $52. The manufacturer has available 42 pounds of foam and 100 labor-hours a week. Use the simplex method to determine the optimal production schedule so to maximize profits. Show that the geometric method gives the same solution. CITED Set up the initial simplex tableau. Let x and y be the number of basketballs and footballs that are produced each week, respectively M U V 2.50 2 U 0 M (Simplify your answers) V 0 0
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- Boston Company use a special part in manufacturing of its finished products. The unit cost thisspecial part is $ 35, and details of its manufacturing cost is as follows. The $35 unit productcost of this part is based on average 25,000 number of parts produced each year.An outside supplier has offered to supply the 25,000 parts at a cost of $30 per part. The specialequipment used to manufacture the above part. This equipment can only be used formanufacturing of this part and if not used it has no resale value.The total amount of general factory overhead, which is allocated based on direct labor-hours,would be unaffected by this decision because it is fixed cost..Suggest the management whether to stop producing internally and buy them from theoutside supplier?Description CAD Direct Materials 10Direct Labor 6Variable overheads…What are the determinants of Demand? The demand function is x = 80 + 2P + 5P^2 where 'x' is the demand for the commodity atPrice 'P'. Find the elasticity of demand at P = 5.1 1 4. Given the production function f(L,K) = K³L³, find the long-run cost minimizing input combination L and K as functions of q, w and r, where q is the output level the firm is producing. Write the cost function.
- In the spreadsheet model shown below, an analyst makes the following data entries. Cell ВЗ В4 В5 B6 Value 113,000 90,000 119,000 99,000 A 1 Revenue 2 Month Revenue Change (%) n/a =(B4-B3)/B3 =(B5-B4)/B4 =(B6-B5)/B5 3 January 4 February 5 March 6 April What values will be shown in the following cells? (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) Cell Value С4 % C5 C6 %Price and cost (dollars per pillow) 100 90 80 70 60 50 40 822 30 20 10 1,000 2,000 3,000 4,000 S=MC MR D 5,000 Quantity (pillows per hour) The figure above shows the demand, marginal revenue, and marginal cost curves for Paul's Parrot pillows, a single-price monopoly producer of pillows stuffed with parrot feathers. When Paul maximizes his profit, the price is pillow and the marginal cost is per pillow. per O $70; $40 O $70; $60 O $100; $40 O $60; $40 O $60; $60You work for the Brad's Nailer Company which manufactures two types of nailers: a pneumatic model and a cordless model. You have contracted to supply a national retail chain with both pneumatic nailers and cordless nailers. However, Brad's nailer production capability is limited in three departments: production, testing, and packaging. Your answer will be the revenue for a production plan that maximizes revenue - rounded to the nearest whole dollar. (The number of nailers may not be a whole number, which is acceptable in this chapter.) Use Scenario 2 Pneum. Revenue Pneum. Prod Hrs Pneum. Test Hrs Pneum. Pkg Hrs Pneum. Sales Cordless Revenue Cordless Prod Hrs Cordless Test Hrs Cordless Pkg Hrs Cordless Sales Prod Hrs max Testing Hrs max Pkg Hrs max Scenario 1 Scenario 2 Scenario 3 42 0.3 0.3 0.1 21,000 67 0.3 0.4 0.1 15,000 11,000 15,000 4,800 55.50 0.4 0.3 0.1 24,500 69.75 0.3 0.5 0.1 12,000 14,000 15,000 4,800 38.50 0.25 0.4 0.1 18,000 44 0.4 0.4 0.2 14,000 14,000 15,000 4,800
- Just need help finding the sausage constraint quantity valueAs a potential owner of a club known as Club Salida, you are interested in determining the necessary volume of sales in dollars to reach the breakeven next year. You decided to break down the club's sales into. four categories, where beer is the first. Your estimate of the sale of beer is that it will serve 30,000 servings. The selling price per unit will average $ 1.50; its cost is $ .75. The second category is food, of which you expect sell 10,000 units with an average unit price of $ 10.00 and a cost of $ 5.00. The third category is desserts and wine, of which you also hope to sell 10,000 units, but with an average unit price of $ 2.50 and a cost of $ 1.00. The last category is inexpensive lunches and sandwiches, of which you expect sell a total of 20,000 units with an average price of $ 6.75 and a cost per unit of $ 3.25. Your fixed costs (i.e. rent, utilities, etc.) are $ 1,800 a month plus $ 2,000 a month for entertainment. a) What is your breakeven point in dollars per month? b)…Suppose the utility function for goods x and y is given by U(x,y) = xy + y4.1. Calculate the uncompensated (Marshallian) demand functions for x and y and describe how the demand curves for x and y are shifted by changes in I or the price of the other good.4.2. Calculate the expenditure function for x and y.4.3. Use the expenditure function calculated in (4.2) to compute the compensated demand functions for goods x and y. Describe how the compensated demand curves for x and y are shifted by changes in income or by changes in the price of the other good.4.4. Given money income = 6, px = 2, py = 2, calculate CV, EV, and consumer surplus when px becomes 4.
- Bernie’s Bike Shop receives the following trade discounts: 20/15/15. The vendor’s price list indicates that 20 percent off list price is for purchasing bikes in quantities of 100 or more, 15 percent off list price is for assembling the bikes for customers, and 15 percent is for sales promotion and local advertising. If the manufacturer’s list price is $550, what should Bernie pay for each bike if he orders 110 bikes at a time, assembles the bikes, and displays and advertises them?Aboloway Company stocks a part that has a daily demand represented by the empirical distribution (shown in the table below). When restocking this part, the average lead time from the supplier is 3 days with a standard deviation of 0.5 days. The plant manager wants to determine how much safety stock to maintain for this part to ensure that stock-outs will not be incurred in more than 5.5% of the order cycles. Daily demand (d) in units Frequency 5 10 10 35 15 65 20 32 25 8 Total Observations = 150 3a. Find the mean and standard deviation for demand. 3b. Based on the information in problems 3 and 3a, what is the mean and standard deviation of demand during the lead time? 3c. Based on the information in problems 3, 3a, and 3b, how much safety stock should the plant manager maintain to ensure that stock-out will not be incurred in more than 5.5% of the order cycles?12 Bakery A uses the newsvendor model to manage its inventory of bread loaf Bakery A sells bread for $4.6 per loat that costs $1.7 per loat to make. At the end of the day, the leftover bread is sold at $1.2 per loaf. The critical ratio of the bread loaf= % (Report your answer without the percentage sign. Keep ONE decimal in your answer. For example, f you answer is 0.9563, report 95.6 in the answer) (Difficuity Level Hard)