Construct an orthogonal basis {V₁, V2} for the subspace W = Span {x1, x2} if x1 = {3, 12, -11} and x2 = {31, 12, -3}. 10741 3842 24 137 137 137 J 1074) O(-3, 12, 11) and 842 24 O (137, 137, 1974) and (3, 12, 11) O (3, 12, -11) and -3842 24 1074, 137 137 137 1074 -3842 24 1074 137 1074 and (3, 12, -11} 137 137
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- Cost of buying tomato plants are 20 cents each and a farmer sells them for 50 cents each. His fixed costs are euro 60 including the rate he pays to the local council. How many tomato plants must he sell to break even? What kind of profit will he realize from selling 180 plants? Formulate P(x) function clearly and graph it. Values of its intersections with both axes must be clear.DEPENDENT VARIABLE Qc R- SQUARE P- VALUE ON F 64 0.8093 0.0001 INDEPENDENTVARIABLE PARAMETER ESTIMATE STANDARD ERROR T-RATIO P-VALUE INTERCEPT 8.20 4.01 2.04 0.0461 PC -3.54 1.64 -2.16 0.0357 M 0.64287 0.19 3.38 0.0014 PA 0.7854 0.38 2.07 0.0439 3. What can you say about the relationship between cement and asphalt? Why? Q = f( P, M, PR) where Qc = demand for cement/month (in yards) Pc = the price of cement per yard, M = country’s tax revenues per capita, and PR = the price of asphalt per yard.A company estimated that the relationship between the unit price and demand per month for a potential new product is approximated by P = $ 100 – $ 0.1D. The company can produce the product by increasing fixed costs $ 17,500 per month, and the estimated variable costs is $ 40 per unit. What is the optimal demand, D*, and based on this demand, should the company produce new product? Why? a) Work out the complete solution by differential calculus, starting with formula for profit or loss per month b) Solve graphically for an approximate answer
- Starting with the algebraic and graphical results of Problems 5 and 6, determine algebraically and determine graphically the effect on YE of an autonomous: (a) Increase in X of 200. (b) Increase in I of 200. (c) Increase in X and I of 200. Problem 5 Given C = 100 + 0.8Y, M = 150 + 0.20Y, I = 100, and X = 350: (a) Determine YE algebraically. (b) Show the determination of YE graphically as in the top panel of Figure 17.3. Problem 6 For the same given as in Problem 5, show the determination of YE graphically as in the bottom panel of Figure 17.3.DEPENDENT VARIABLE Qc R- SQUARE P- VALUE ON F 64 0.8093 0.0001 INDEPENDENTVARIABLE PARAMETER ESTIMATE STANDARD ERROR T-RATIO P-VALUE INTERCEPT 8.20 4.01 2.04 0.0461 PC -3.54 1.64 -2.16 0.0357 M 0.64287 0.19 3.38 0.0014 PA 0.7854 0.38 2.07 0.0439 Explain the interceptand the coefficients of Pc, M, and PA.(10+05)The following data were collected on the height (inches) and weight (pounds) of women swimmers.Height6870646566 Weight132110106115128 d. Suppose the value of co-efficient of determination is estimated to be equals 0.85, what does this value explains?
- Eng. Economic Q1. Would a dollar tomorrow be worth more to you today when interested is 20% or 10%?1. Unisng the information provided, demonstrate how the centre of gravity location technique can be used to determine the best location that will minimize total travel distance.Solve for x for the following equation: 4ln(3x-8) = 60
- It will cost you $275/ton for you to apply fertilizer (X) to yourcorn (Q). Given the yield information below (total bushelsproduced given amount of fertilizer applied), how many tons offertilizer should you apply? Make sure to show all your work with a graphQ6 Suppose that at time t=0, half of a "logistic" population of 100000 persons have heard a certain rumor and that the number of those who have heard it is then increasing at the rate of 500 persons per day. How long will it take for this rumor to spread to 80% of the population? ( Suggestion: Find the value of k by substituting P(0) and P'(0) in the logistic equation) a. About 98 days b. About 34 days c. About 19 days d. About 69 days e. About 119 daysPlease ASAP. Thank you QUESTION If a $200 increase in price is associated with an increase in quantity of 50 visits, with regard to the quantity axis the slope is: A. 50/200 B. 200 X 50 C. 50 X 200 D. 200/50 QUESTION If a person has a medical condition that has a quality of life index of 0.75, and the condition persisted for two years, then the individual would experience: A. 0.50 QALYs during that two-year period B. 0.75 QALYs during that two-year period C. 0.25 QALYs during that two-year period D. 1.50 QALYs during that two-year period