Can someone please help? Thank you very much if you can!

A box manufacturing company would like to minimize the amount of material it takes to make their boxes. The boxes have widths of10 cm and do not have any tops. Given that the volume of the box is 110 cm\A soda company is trying to cut down on material costs fortheir drinks. Their drinks hold 14 in.3 of liquid (approximately 8 ounces) and come in the shape of a cylinder What is the radius that will give the least amount of surface area for the drink containers? Use the volume and surface area formulas of a cylinder. V = Pb and SA = 27r7'2 + 27rrh Round to three decimal places. An aquatic wildlife company is making an open, rectangular sh tank, The volume required for the sh tank is 80 cubic feet. The bottom of the sh tank must be made of sheet metal, but the sides are made of glass. Two opposite sides of the sh tank must be square, What is the minimum cost to make a sh tank with these requirements if glass is $2.00 per square foot and sheet metal is $1.50 per square foot? Round to the nearest cent. 4. A company does some market research and finds that the price they can charge is dependent on the number of units they sell. The company finds that B (a) = - 2 + 30 where a is the number of units sold in hundreds and B is the price. If the total cost of producing a number of units is C (a) = 2x2 - 15x + 42, how much should the company produce so that they can maximize their profit? Note that P (a) = R (a) - C (a) and R (a) = a . B (a) where P is the profit, R is the revenue, and C is the cost. unitsMilk in , Mrs. Jones always wanted a white picket fence in front of her house. Mr. Jones, her husband, wants a fence around the entire house including a decently-sized lawn in the front and a garden in the back. The fence border should look like a rectangle (see picture above). He calculated that he would need to fence off an area of 4,000 square feet in order to t all these things. He wants to appease his wife and at least build the white picket fence in front of the house He plans to build the rest of the fence with chain link. a cheaper material. Given that a white picket fence costs $7 per foot and a chain link fence costs $4 per foot, what dimensions for the entire area will give the cheapest cost for the entire fence? Round your answers to the nearest whole number. Width: ft Height: ft