. . A manufacturer guarantees a product for 1 year. The lifespan of the product after it is sold is given by the probability density function below, where t is time Question list | inmontns. 0.01t jft>0 =] 00te 0 otherwise What is the probability that a buyer chosen at random will have a product failure (A) During the warranty? (B) During the second year after purchase? @ Question 20 O Question 21 i (A) What is the probability that the product will fail within one year? O Question 22 (Round to three decimal places as needed.) i (B) What is the probability that the product will fail during the second year after purchase? @ Question 23 (Round to three decimal places as needed.) O Question 24 O Question 25 O Question 26 Question list K Find fxx(x,y), fxy(x,y), fyx(x,y), and fyy(x,y) for the following function. 6x 2y f(x,y) = 5y 7x O Question 24 . . . O Question 25 fxx(x,y) = fxy(x,y) =] Question 26 fyx (x,y) =] fyy (x,y) = _ O Question 27 O Question 28 Question 29 Question 301 Q t | | A firm produces two types of calculators each week, x of type A and y of type B. The weekly revenue and cost functions (in dollars) are as follows. y uestion ISt R(x,y) = 110x + 160y + 0.02xy - 0.07x2 - 0.02y2 C(x,y)=7x+ 2y + 20,000 Find P, (1100,1600) and Py(1100,1600), and interpret the results. s O Question 24 P,(1100,1600) = @ Question 25 Choose the correct interpretation of P, (1100,1600). @ Question 26 (O A. When selling 1,100 units of type A and 1,600 units of type B, the profit will decrease approximately $29 per unit increase in production of type A. (0 B. When selling 1,100 units of type A and 1,600 units of type B, the profit will decrease approximately $19 per unit increase in production of type A. O Question 27 (O C. Selling 1,100 units of type A and 1,600 units of type B will yield a profit of approximately $29. w (O D. Selling 1,100 units of type A and 1,600 units of type B will yield a profit of approximately $19. O Question 28 Py(1100,1600) = Choose the correct interpretation of Py(1 100,1600). @ Question 29 v (O A. When selling 1,100 units of type A and 1,600 units of type B, the profit will increase approximately $126 per unit increase in production of type B. (O B. When selling 1,100 units of type A and 1,600 units of type B, the profit will increase approximately $116 per unit increase in production of type B. v @ Question 30 () C. Selling 1,100 units of type A and 1,600 units of type B will yield a profit of approximately $116. t_ | t | A firm produces two types of calculators each week, x of type A and y of type B. The weekly revenue and cost functions (in dollars) are as follows. | Question lis R(x,y) = 110x + 160y +0.02xy - 0.07x% - 0.02y> C(x,y) = 7x + 2y + 20,000 Find P, (1100,1600) and Py(1 100,1600), and interpret the results. - O Question 24 ) Choose the correct interpretation of P, (1100,1600). @ Question 25 Lpretat x( ) (O A. When selling 1,100 units of type A and 1,600 units of type B, the profit will decrease approximately $29 per unit increase in production of type A. @ Question 26 (O B. When selling 1,100 units of type A and 1,600 units of type B, the profit will decrease approximately $19 per unit increase in production of type A. (O . Selling 1,100 units of type A and 1,600 units of type B will yield a profit of approximately $29. . . Selling 1,100 units of type A and 1,600 units of type B will yield a profit of approximately $19. O Question 27 Py(1100,1600) = O Question 28 Choose the correct interpretation of P, (1100,1600). . When selling 1,100 units of type A and 1,600 units of type B, the profit will increase approximately $126 per unit increase in production of type B. @ Question 29 . When selling 1,100 units of type A and 1,600 units of type B, the profit will increase approximately $116 per unit increase in production of type B. . Selling 1,100 units of type A and 1,600 units of type B will yield a profit of approximately $116. @ Question 30 . Selling 1,100 units of type A and 1,600 units of type B will yield a profit of approximately $126