A retailer has been selling 400 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. (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 + 170x, what price should it choose in order to maximize its prot? $ A rectangular storage container without a lid is to have a volume of 10 m3. The length of its base is twice the width. Material for the base costs $15 per square meter. Material for the sides costs $9 per square meter. Let w denote the width of the base. Find a function in the variable w giving the cost C (in dollars) of constructing the box. C(w)= 30w2+ % Find the derivative of C. 270 C'(W)= 60w 7 " Find the cost (in dollars) of materials for the least expensive such container. (Round your answer to the nearest cent.) $ 163.54 3: Enhanced Feedback EPlease try again, keeping in mind that the volume of an open box with height h and a rectangular base whose length is twice its width w is V = szh, and the cost function of its surface :is C = c1(2w2) + c2[2(wh) + 2(2wh)], where 1:1 is the cost for the base and c2 is the cost for the sides. Find a relationship between w and h, using the fact that the volume is a constant. :Rewrite the cost function as a function of one variable. Use calculus to nd the minimum possible cost. Need Help