What is the maximum profit for the profit-versus-production function given below? P is profit in dollars and x is units of production. P= $200,000 0.1z- O(A) $200,000 O (B) $240,000 O (C) $290,000 - (4)* O (D) $310,000 4
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- BVM manufactured and sold 25,000 small statues this past year. At that volume, the firm was exactly in a breakeven situation in terms of profitability. BVM’s unit costs are expected to increase by 30% next year. What additional information is needed to determine how much the production volume/sales would have to increase next year to just break even in terms of profitability? (a) Costs per unit (b) Sales price per unit and costs per unit (c) Total fixed costs, sales price per unit, and costs per unit (d) No data is needed, the volume increase is 25, 000 + 25, 000(0.30) = 32, 500 units.Metters Cabinets, Inc., needs to choose a production method for its new office shelf, the Maxistand. To help accomplish this, the firm has gathered the following production cost data: Variable costs (per unit) ($) Process type Annualized fixed cost labor material energy Of plant & equip. Intermittent $1,000,000 24 26 20 Mass customization $1,190,000 30 18 12 Repetitive $1,385,000 28 15 11 Continuous $1,660,000 25 15 10 Determine the most economical…Selling price per large Snowie $ 5.00 Ice per Snowie $ 0.20 Spoon straw (need one per Snowie) $ 0.02 Styrofoam cup (need one per Snowie) $ 0.08 Napkin (need two per Snowie) $ 0.02 Servings per gallon of syrup 28 Cost per gallon of syrup (includes concentrate, preservative, and sugar) $ 8.00 Hourly rate for workers $ 10.00 Event registration fee per day $ 25.00 Electricity, insurance, maintenance, and permit costs per month $ 250.00 Kiosk rental cost per month $ 650.00 Purchase cost of two ice shavers (5-year life) $ 3,180.00 Purchase cost of a flavor station (5-year life) $ 1,080.00 a. Number of days you anticipate opening the kiosk per month 20 b. Number of hours you will work (no wages required) per day 6…
- 1 Vehicle purchase. A student living in Lower Hutt is considering the purchase of a newvehicle. An electric vehicle (EV) can be purchased for $40,000 and has a running cost of $0.20per km. Alternatively, a (petrol) combustion vehicle (CV) can purchased for $25,000 and has arunning cost of $0.45 per km. The student is determined to make a decision which minimisesthe total cost depending on the number of kilometres that the vehicle will be used.(Here you should assume that the running costs also account for periodic costs such as mainte-nance, insurance, registration.)(a) Describe the decision and environment variables associated with this problem.(b) Determine the utility function R(D, X) which maps the outcomes to the total cost incurred.(c) Use a break-even analysis to determine the number of km for which the optimal decisiondiffers above and below this amount. Specifically, plot R(D, X), determine where thebreak-even point occurs and mark it clearly on your plot, then briefly…A subsidiary of a major furniture company manufactures wooden pallets. The plant has the capacity to produce 300,000 pallets per year. Presently the plant is operating at 70% of capacity. The selling price of the pallets is $18.25 per pallet and the variable cost per pallet is $15.75. At zero output, the subsidiary plant’s annual fixed costs are $550,000. This amount remains constant for any production rate between zero and plant capacity. Solve, a. With the present 70% of capacity production, what is the expected annualprofit or loss for the subsidiary plant. b. What annual volume of sales (units) is required in order for the plant to break even? c. What would be the annual profit or loss if the plant were operating at 90% of capacity? d. If fixed costs could be reduced by 40%, what would be the new breakeven sales volume?In the design of a jet engine part, the designer has a choice ofspecifying either an aluminium alloy casting or a steel casting. Either materialwill provide equal service, but the aluminium casting will weigh 1.2 kg ascompared with 1.35 kg for the steel casting.The aluminium can be cast for $. 80.00 per kg. and the steel one for$ 35.00 per kg. The cost of machining per unit is $. 150.00 for aluminiumand $. 170.00 for steel. Every kilogram of excess weight is associated witha penalty of $. 1,300 due to increased fuel consumption. Cost of using aluminium metal for the jet engine part?
- A paint manufacturing company uses a sand mill for fine grinding of paint witn an output of 100 liters per hour using glass beads as grinding media. Media load in the mill is 25 kg costing ₱200.00 per kg and is fully replenished in 2 months time at 8 hours per day operation, 25 days a month. A ceramic grinding media is offered to this paint company, costing ₱400 per kg and needs 30 kg load in the sand mill, but guarantees an output of 120 liters per hour and full replenishment of media in 3 months. If profit on paint production is ₱15 per literl which media is more profitable and how much is the difference in profit?Suppose we know that p=1,056– D/5, where p = price in dollars and D = annual demand. The total cost per year can be approximated by $1,000 + 2D2 . a.Determine the value of D that maximizes profit. b.Show that in part(a) profit has been maximized rather than minimized. c. Find the maximum profit Show handwritten solutions.The costs of producing a commodity consist of ₱102.00 per unit for labor and material cost and ₱54.00 per unit for other variable cost. The fixed cost per month amounts to ₱850,000. The commodity is sold at ₱740.00 each, what is the break-even quality per month? (Hint: for Break-even quality, COST = REVENUE)
- A buyer for an electrical component is searching for a supplier who has the best combination of low price, low order cycle time and low order cycle variability.Current uage for the component is 100 units per day. the buyer received data on four potineital suppliers (table) Based on the order cycle time, variability and unit price data provided in the table, which supplier should be awarded the component business?The owner shop is contemlating adding anew product which will require additional mouthly payment of 6000, variable costs would be brirr. 2 per new product & its selling price is brirr. 7 each How many new products must be sold in order to break even point?ABC Corporation resells one type of candle. It has 250 working days. Each day, it sells an average of 500 boxes but maysometimes sell a maximum of 600 boxes. The supplier takes an average of 5 days to deliver the order. During busier times, thesupplier may take 7 days.Based on ABC’s records, ordering cost average P400 per order. Storage cost per box average P5 per year. There is also anopportunity cost of 1% per year for every peso invested in inventories. Each box of candles costs P450. If ABC would continue its current inventory management policy, it would keep 10,000 boxes as safety stock and order ten-days-worth of inventory. (B) Economic Order Quantity 1. How much would the total inventory related (ordering plus carrying) costs be if the economic order quantity wasfollowed (excluding safety stock)? (D) Cost-Benefit Analysis: If ABC maintains its current inventory policy for the year,1. How much would the entity save it followed the reorder point and economic order quantity models?…