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A: The detailed solution is given below Thank you
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Q: work
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- JC Company manufactures furniture such as sofas and tables. In their current inventory, a total of 48 planks of wood are left. Each sofa needs four planks of wood to be made while each table needs two planks of wood to be made. The company earns a profit of P hundred pesos where P(x, y) = (6x^2)y for selling x units of sofas andy units of tables. With their current inventory of woods, how many sofas and tables are needed to be produced to maximize their profit?You just purchased a rectangular waterfront lot along a river's edge. The perimeter of the lot is 100 m. To create a sense of privacy, you decide to fence along the three sides, excluding the long side that fronts the river. An expensive fencing along the lot's front length opposite to the river front costs P2500 per m. An inexpensive fencing along the two shorter side widths costs only P500 per foot. The total cost of the fencing along the three sides comes to P95,000. What are the lot's dimensions?Homogeneous (4D4- 4D3- 23D2+ 12D + 36)y = 0
- Plz compete solution otherwise leave it hanging.At the end of the semester the teacher thinks it is a good idea to give z scores instead of your raw score for the class, but you really want to know your raw score. Solve for your raw score with the following information z= 2.45, µ=70 and the σ=5The Tortoise and the Hare In a 21-meter race between atortoise and a hare, the tortoise leaves 9 minutes before thehare. The hare, by running at an average speed of 0.5 meterper hour faster than the tortoise, crosses the finish line3 minutes before the tortoise. What are the average speedsof the tortoise and the hare?
- The simpliest form of a2- -b2 /8a-8bA popular band is selling three different versions of their recent album. They found out that the profit (in Rupees) is given by the following: P = 35, 000 - 0.1a2 - b2 - c2 +80b + 100c, where a, b, and c are the number of albums sold for the gold version, silver version, and standard version respectively. If they plan to sell a total of 205 albums, find the number of albums for each version that will give the maximum profit using LAGRANGE MULTIPLIERS.Substitution method -2x-y= 9 x+ 7y= 15
- After running a mile a day over a period of two weeks, the average amount of weight loss is 2.5 pounds. A dietitian, who publishes health articles in a newspaper, states their new diet program helps with additional weight loss when combining their special diet with running a mile a day over a period of two weeks. Interested in studying the dietitian's article further, you ask friends who have tried the dietitian's new program and you determine their weight loss to be 3.0 pounds in a two-week period, on average. As you set up a hypothesis test to determine if the dietitian's article is correct, what is the dietitian's claim?a room is to be painted. the dimension of the room is 30mx20x10. Determine the cost of painting the room if the paint cost $0.25 per square meterA microwave oven is approximately shaped as a rectangular solid. The length, L of the microwave is twice its height , h, minus two inches. Its width , w, is four inches longer than its height, h. The sum of its length, l, width, w and height, h is 50 inches.