Question Solved1 Answer The latest demand equation for your Yoda vs. Alien T-shirts is given by q = -40p + 500 where q is the number of shirts you can sell in one week if you charge $p per shirt. The Student Council charges you $300 per week for use of their facilities, and the T-shirts cost you $7 each. Find the weekly cost as a function of the unit price p. C(p) = -590x2 + Hence, find the weekly profit as a function of p. P(p) = Determine the unit price you should charge to obtain the largest possible weekly profit. p = $ per T-shirt What is the largest possible weekly profit? $ You have just opened a new nightclub, Russ' Techno Pitstop, but are unsure of how high to set the cover charge (entrance fee). One week you charged $10 per guest and averaged 200 guests per night. The next week you charged $15 per guest and averaged 150 guests per night. (a) Find a linear demand equation showing the number of guests q per night as a function of the cover charge p. – 20p 9(p) = 41 - (b) Find the nightly revenue R as a function of the cover charge p. R(p) = (c) The club will provide two free non-alcoholic drinks for each guest, costing the club $4 per head. In addition, the nightly overheads (rent, salaries, dancers, DJ, etc.) amount to $1,000. Find the cost C as a function of the cover charge p. C(p) = (d) Now find the profit in terms of the cover charge p. P(p) = Determine the entrance fee you should charge for a maximum profit. p = $ per guest

9. Let D be the solid under the plane z = 10 – x, above the xy-plane and bounded on the sides by the planes x = 0, y = () and x + y = 1. If the density is f(x, y, z) = Z, find the mass and assign the result to q9. 10. Let D be the solid inside the cylinder r = cos 0, above the xy-plane and under the paraboloid z = 9 – x2 - y2. Calculate S S SozdV and assign the result to q10.

The effect of temperature on the rate of a reaction was studied and the following data obtained: k (s¹) T (°C) 7.98x10-4 9 1.16x10-3 14 1.79x10-3 20 2.54x10-3 25 4.93×10-3 35 7.64x10-3 42 1.23x10-² 50 1.47x10-2 53 It is known that the variation of the rate constant k with the absolute temperature T is described by the Arrhenius equation: k = A exp [(-E₂ The effect of temperature on the rate of a reaction was studied and the following data obtained: k (s¹) T (°C) 7.98x10-4 9 1.16x10-3 14 1.79x10-3 20 2.54x10-3 25 4.93×10-3 35 7.64x10-3 42 1.23x10-² 50 1.47x10-2 53 It is known that the variation of the rate constant k with the absolute temperature T is described by the Arrhenius equation: k = A exp [(-E₂ )/(RT)] where E, is the activation energy, R is the universal gas constant and A is the pre-exponential factor (units of the rate constant). Taking the natural logarithm of both sides affords: Ea In k = In A- RT For a plot of y = Ink versus x = 1/T, calculate the slope of the best straight line using linear regression.

Choi Company manufactures two skin care lotions, Smooth Skin and Silken Skin, from a joint process. The joint costs incurred are \( \$ 410,000 \) for a standard production run that generates 290,000 pints of Smooth Skin and 130,000 pints of Silken Skin. Smooth Skin sells for \( \$ 2.50 \) per pint, while Silken Skin sells for \( \$ 4.00 \) per pint. Choi Company manufactures two skin care lotions, Smooth Skin and Silken Skin, from a joint process. The joint costs incurred are \( \$ 410,000 \) for a standard production run that generates 290,000 pints of Smooth Skin and 130,000 pints of Silken Skin. Smooth Skin sells for \( \$ 2.50 \) per pint, while Silken Skin sells for \( \$ 4.00 \) per pint. Requlred: 1. Assuming that both products are sold at the split-off point, how much of the joint cost of each production run is allocated to Smooth Skin using the relative sales value method? 2. If no separable costs are incurred after the split-off point, how much of the joint cost of each production run is allocated to Silken Skin using the physical measure method? 3. If separable processing costs beyond the split-off point are \( \$ 1.60 \) per pint for Smooth Skin and \( \$ 1.30 \) per pint for Silken Skin, how much of the joint cost of each production run is allocated to Silken Skin using a net realizable value method? 4. If separable processing costs beyond the split-off point are \( \$ 1.60 \) per pint for Smooth Skin and \( \$ 1.30 \) per pint for Silken Skin, how much of the joint cost of each production run is allocated to Smooth Skin using a physical measure method? (For all requlrements, do not round Intermedlate calculations. Round flnel answers to nearest whole doller amounts.)

Please write your answer in python Define a function called sasquatch(), which has one parameter. Name the parameter whatever you want The function should print the value of its parameter to the console. Additional Notes: Regarding your code's standard output, CodeLab will check for case errors and will check whitespace (tabs, spaces, newlines) exactly.

The initial mass of a certain species of fish is 2 million tons. The mass of fish, if left alone, would increase at a rate proportional to the mass, with a proportionality constant of 4/yr. However, commercial fishing removes fish mass at a constant rate of 11 million tons per year. When will all the fish be gone? If the fishing rate is changed so that the mass of fish remains constant, what should that rate be?

The initial mass of a certain species of fish is 2 million tons. The mass of fish, if left alone, would increase at a rate proportional to the mass, with a proportionality constant of 5/yr. However, commercial fishing removes fish mass at a constant rate of 12 million tons per year. When will all the fish be gone? If the fishing rate is changed so that the mass of fish remains constant, what should that rate be? When will all the fish be gone? Inco The fish will all be gone in years. (Round to three decimal places as needed.)