If you could show your work and provide a brief explanation, that would be great. Thank you!

46. A patient's pulse measures 70 bpm, 80 bpm, then 120 bpm. To determine an accurate measurement of pulse, the doctor wants to know what value minimizes the expression (x - 70)? + (x - 80)2 + (x - 120)2 A) 70 C) 90 E) None of the above. B) 80 D) 120 Use the following picture and description to answer questions 47, 48, 49, and 50. y You are building five identical pens adjacent to each other with a total area of 1000 m. 47. If you want to create a pen with the maximum amount of area, what is the objective function? A) A(I, y) = B) A(I, y) = Ty C) A(I, y) = Ity D) A(1, y) = 5xy E) None of the above.48. What is the constraint function? A) 1000 = 6r + 10y B) 1000 = = + y C) 1000 = 10r + 6y D) 1000 = 61 + 6y E) None of the above. 19. What will the objective function look like if we solve for y using the constraint and plug that into the objective function? A) A(I) = 300- B) A(r) = 2x (500-5x ) C) A(r) = x + (500-5x) 3 D) A(x) = x(500-51) 3 E) None of the above. 50. What are the dimensions that maximize the area of the pen? A) = = 100, y = 0 B) I = 50, y = 250 C) = = 40, y = 60 D) = = 30, y = 50 E) None of the above