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)
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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)
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- Company A has fixed expenses of Php 15,000 per year and each unit of product has a Php 0.002 variable cost. Company B has fixed expenses of php 5000 per year and can produce the same product at a php 0.05 variable cost. At what number of units of annual production will Company A have the same overall cost as Company B?XYZ Enterprises produce slippers in 10 different designs. It takes one hour (and PhP20,000) to set up between designs and, after setting up, they can produce 1,000 units of a particular design per hour (at a cost of PhP9,000). Does this production exhibit scale economies or scope economies?The economic order quantity of Inc. is 1,000 unit. They sold their sole product for a selling price of P5. It takes P20,000 a year for Inc. in ordering 1,000 units per transaction. Carrying cost is P4 per unit per year. The lead time for this product is one week. How much sales revenue should Inc. have for this economic order quantity to be plausible? (Use 360 days a year)
- A company is analyzing a make-versus-purchase situation for a component used in several products, and the engineering department has developed these data: Option A: Purchase 10,000 items per year at a fixed price of Php 425 per item. The cost of placing the order is negligible according to the present cost accounting procedure. Option B: Manufacture 10,000 items per year, using available capacity in the factory. Cost estimates are direct materials = Php 250 per item and direct labor = Php 75 per item. Manufacturing overhead is allocated at 200% of direct labor (= Php 150 per item). Based on these data, should the item be purchased or manufactured?Focus on the difference between feasible alternatives. Insulated concrete forms (ICF) can be used as a substitute for conventional wood framing in building construction. Heating and cooling bills will be about 50% less than in a similar wood-framed building in upstate New York. An ICF home will be approximately 10% more expensive to construct than a wood-framed home. For a typical 2,000 ft2 home costing $120 per ft2 to construct in upstate New York and costing $200 per month to heat and cool, how many months does it take for a 2,000 ft2 ICF home to pay back its extraconstruction cost?Sally Statistics is implementing a system of statistical process control (SPC) charts in her factory in an effort to reduce the overall cost of scrapped product. The current cost of scrap is $X per month. If a 75% learning curve is expected in the use of the SPC charts to reduce the cost of scrap, what would the percentage reduction in monthly scrap cost be after the charts have been used for 6 months? (Hint: Model each month as a unit of production.)
- A plant has sufficient capacity to manufacture any combination of four different products (A, B, C, D). For each product, time is required to be invested in four different machines, which is expressed in hours per kilogram of product, as shown in the following table as shown in the following table: (attached image) Each machine has an availability of 60 hours per week. Products A, B, C and D can be sold at $9, $7, $6 and $5per kilo, respectively. Variable labor costs are $2 per hour for machines 1 and 2, and $3 per hour for machines 3 and 4. The material costs for each kilogram of product A are $4. The material costs for each kilogram of products B, C, D and D are $4 each kilogram of products B, C and D are $1. What needs to be done:Formulate a profit-maximizing PL model given the maximum demand per product shown in the table (there are 16 variables). Note: Do it by hand, no computerThe making of rivet holes in structural steel members can be done by 2 methods. The first method consists of laying out the position of the holes in the members and using a drill press costing P100k. The machinist is paid P60 per hour and he can drill 80 holes per hour. The second method makes use of a multiple-punch machine costing P80k. The punch operator is paid P40 an hour and he can punch out 1 hole for 3 seconds. This method also requires an expense of P1.25 per hole to set the machine. How many hours will it take the Multiple Punch Machine to finish the 10k holes. a. 92 b. 8.3 c. 0.92 d. 8.9While spending the weekend in New York City, Raphael, Susan, and their son, Alex, are lucky enough to hail the Cash Cab for their taxi ride. During their ride, they win $200 for correct answers and receive only one strike for a wrong answer, so at the end of the ride they are eligible for the video bonus question. Their vacation budget before entering the cab was $400, and based on their understanding of the type of bonus question they’ll be asked, they believe they have a 80% chance of getting the question right. As explained in the article, if they answer the video bonus question correctly, they will double their winnings, but if they miss the video bonus question, they will lose all of what they had previously won. Alternatively, they can choose not to play for the bonus and walk away with their winnings from the cab ride. The following graph shows the cab riders’ utility as a function of their total vacation budget. For simplicity, assume that all three passengers have the same…
- A strawberry growing company is deciding its production and sale plan for the national and international markets.The sale price for each ton of strawberry depends on the quantity offered in the market. If x1 tons is offered for the domestic market, the sale price will be (30 - x1) CU / ton, while if x2 tons is offered for the international market, the sale price will be (40 - x2) CU / ton.The cost for each ton of strawberry for the domestic market is 10 MU, while for the international market it is 15 MU.The company has the capacity to produce up to 10 tons of strawberries for sale and according to SAG restrictions, it must dedicate at least 10% of production to the international market.For technical production reasons, the company must additionally satisfy the following restriction: x12 + x22 ≤64.d) There is the option of buying new machinery to increase the production capacity of the company. In what range should the new machine increase production capacity to suit the company? How…The cost of producing a certain commodity of P45.00 per unit for labor and material cost and P15.00 per unit for other variable cost. The fixed cost per month amounts to P450,000. If the commodity is sold at P250.00 each, what is the break-even quantity?A strawberry growing company is deciding its production and sale plan for the national and international markets.The sale price for each ton of strawberry depends on the quantity offered in the market. If x1 tons is offered for the domestic market, the sale price will be (30 - x1) CU / ton, while if x2 tons is offered for the international market, the sale price will be (40 - x2) CU / ton.The cost for each ton of strawberry for the domestic market is 10 MUs, while for the international market it is 15 MUs.The company has the capacity to produce up to 10 tons of strawberries for sale and, according to SAG restrictions, it must dedicate at least 10% of its production to the international market.For technical production reasons, the company must additionally satisfy the following restriction: x12 + x22 ≤64.a) Raise the NLP model that allows maximizing the net profit for the companyb) State the KKT conditions for the problem and indicate whether they are necessary and / or sufficient.c)…