Basic Calculus, Optimization. Hello! I know this is a long one to answer, but I'm really struggling with this subject. I'd really appreciate the help. Thank you!

BASIC CALCULUS Skill Summative Assessment 2.3: Optimization Name: Class: 1. Grayson Farms plans to enclose three parallel rectangular livestock pens within one large rectangular area using 600 ll of fencing. One side of the enclosure is a pre-existing wall. Choose which design will give the maximum area. Support your answer with a solution. Design 1: The three rectangular pens have their longest side parallel to the wall. Design 2: The three rectangular pens have their shorter side perpendicular to the stone wall. 2. A rectangular garden measuring 1200 ydz is to be enclosed on two parallel sides by a stone wall that costs P350 per yard and the other sides by wooden fencing that costs P 280 per yd. Solve forthe dimensions that will minimize the costs of enclosing this garden and the cost. 3. An open box is to be made from a square piece of material. 12 inches on a side, by cutting equal squares from each corner and turning up the sides. a) Find the volume ofthe largest box that can be made. b) If the dimensions of the square piece of material is doubled, how does the volume change? BASIC CALCULUS Skill Summative Assessment 2.3: Optimization Name: Class: 1. Grayson Farms plans to enclose three parallel rectangular livestock pens within one large rectangular area using 600 ll of fencing. One side of the enclosure is a pre-existing wall. Choose which design will give the maximum area. Support your answer with a solution. Design 1: The three rectangular pens have their longest side parallel to the wall. Design 2: The three rectangular pens have their shorter side perpendicular to the stone wall. 2. A rectangular garden measuring 1200 ydz is to be enclosed on two parallel sides by a stone wall that costs P350 per yard and the other sides by wooden fencing that costs P 280 per yd. Solve lnrthe dimensions that will minimize the costs of enclosing this garden and the cost. 3. An open box is to be made from a square piece of material. 12 inches on a side, by cutting equal squares from each corner and turning up the sides. a) Find the volume of the largest box that can be made. b) If the dimensions of the square piece of material is doubled, how does the volume change? BASIC CALCULUS Skill Summative Assessment 2.3: Optimization Name: Class: 1. Grayson Farms plans to enclose three parallel rectangular livestock pens within one large rectangular area using 600 ll of fencing. One side of the enclosure is a pre-existing wall. Choose which design will give the maximum area. Support your answer with a solution. Design 1: The three rectangular pens have their longest side parallel to the wall. Design 2: The three rectangular pens have their shorter side perpendicular to the stone wall. 2. A rectangular garden measuring 1200 ydz is to be enclosed on two parallel sides by a stone wall that costs P350 per yard and the other sides by wooden fencing that costs P 280 per yd. Solve torthe dimensions that will minimize the costs of enclosing this garden and the cost. 3. An open box is to be made from a square piece of material. 12 inches on a side, by cutting equal squares from each corner and turning up the sides. a) Find the volume ofthe largest box that can be made. b) If the dimensions of the square piece of material is doubled, how does the volume change? BASIC CALCULUS Skill Summative Assessment 2.3: Optimization Name: Class: 1. Grayson Farms plans to enclose three parallel rectangular livestock pens within one large rectangular area using 600 ft of fencing. One side at the enclosure is a pre-existing wall. Choose which design will give the maximum area. Support your answer with a solution. Design 1: The three rectangular pens have their longest side parallel to the wall. Design 2: The three rectangular pens have their shorter side perpendicular to the stone wall. 2. A rectangular garden measuring 1200 ydz is to be enclosed on two parallel sides by a stone wall that costs P350 per yard and the other sides by wooden fencing that costs P 280 per yd, Solve lor the dimensions that will minimize the costs of enclosing this garden and the cost. 3, An open box is to be made from a square piece of material, 12 inches on a side, by cutting equal squares from each corner and turning up the sides. a) Find the volume of the largest box that can be made, b) If the dimensions of the square piece of material is doubled, how does the volume change