4.7 Homework - Optimization (Homework)

6. [-/1 Points] DETAILS SCALCET9 4.7.040.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the semicircle is equal to the width of the rectangle, labeled x.) KIX If the perimeter of the window is 8 feet, find the exact value of x (in ft) so that the greatest possible amount of light is admitted. X = ft Need Help? Read It Master It 7. [-/1 Points] DETAILS SCALCET9 4.7.063. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER What is the shortest possible length of the line segment that is cut off by the first quadrant and is tangent to the curve y = = - at some point? Need Help? Read It8. [-/1 Points] DETAILS SCALCET9 4.7.069. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A retailer has been selling 1200 tablet computers a week at $350 each. The marketing department estimates that an additional 80 tablets will sell each week for every $10 that the price is lowered. (a) Find the demand function. P(x) = (b) What should the price be set at in order to maximize revenue? (c) If the retailer's weekly cost function is C(x) = 25,000 + 140x, what price should it choose in order to maximize its profit? $ Need Help? Read It Watch ItWe have an open box with a square base and surface area of 108 square inches. If x is the edge of the square base, then the volume is v = 108x - x O True O False 10. [-/1 Points] DETAILS SCALCET8 4.7.JIT.008. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Which of the points P(2, 1) or Q(1, 3) is closer to the point R(-1, -1)? O Point P(2, 1) is closer to point R(-1, -1). O Point Q(1, 3) is closer to point R(-1, -1). O Points P(2, 1) and Q(1, 3) are the same distance from point R(-1, -1). Need Help? Watch It