Suppose that one factory inputs its goods from two different plants, A and B, with different costs, 2 and 9 each respective. And suppose the price function in the market is decided as p(x, y) = 100-z-y where I and y are the demand functions and 0 < x, y ≤ 30. Then as I = 30 the factory can attains the maximum profit, 0 X 20/04/2023 11:26

Determine the value of the constant k, such that 8 4 Sdx = 1.90038. 2x-1 k Give your answer correct to 3 decimal place. k=

2) Let's investigate the serval (Leptailurus serval), a medium sized spotted cat found over large parts of Africa. Somehow we know that their true average weight(u) is 13 kg cm (u = 13 kg) and the true standard deviation (0) is 2.75 kg (o=2.75 kg), and that their weight follows a normal distribution. Figure out the following probabilities. a) Pr{y 14} c) Pr{Y< 18} 3) Refer to problem (2). Give the following percentiles: a) 25 b) 30 c) 50 d) 70 e) 75 d) Pr{14

A homeowner must reduce the use of his home electricity. the home currently consumes 25.7 kwh of electricity per day, and the homeowner must reduce the use by 20%. find the amount of electricity that will be used after the reduction in two different ways, using two different scale factors