Kindly solve these problem

(5)(5 points) Solve the following application problem using a system of linear equations (See Chapter 5.4) Creating the new open-area will allow Lucette to sell her chicken meat as "Free Range". increasing the price that buyers will pay for her chicken meat. However, without a fence the chickens may escape. Therefore, Lucette drove all the way to the Bellingham Home Depot and brought back 150 feet of fencing to her farm in Blaine, WA. Her plan is to create a rectangular open area for her chickens next to her giant chicken coop (chicken house). Because one of the longer sides of the rectangular fence will be along the chicken coop, no fencing is required on one of the lengths. However, there is a problem! As of this morning, there is a 10-foot hole in the ground created by her son who incorrectly used the farm's digging equipment and burst an underwater pipe. Building around this mess, Lucette needs the length of the fence to be 10 less than two times the width in order to maximize the area enclosed by the fence (the ratio should be exactly two times based on Calculus; but the massive hole that her son created has forced her to subtract 10 feet). Find the length and width of the fence. (6) ( 5 points) Solve the following mixture problem using a system of linear equations. (see Chapter 5.5) The Kapoor family is investing $50,000 in unexpected earnings for their newborn daughter's education. The family can invest in a mutual fund consisting of high-risk stocks, with an expected 10 rate of return (Interest), or a mutual fund consisting of lower-risk "blue chip" stocks that have an expected 5% rate of return. Investing entirely in the lower-risk mutual fund would not eam enough money before she turns 18. However, investing entirely in the higher-risk mutual fund comes with a risk of losing money if the stock market were to crash. Together with their financial advisor, they have decided to split the invested money between the lower-risk and higher-risk mutualfunds. How much money should be invested in each fund to hit the "target rate" annual rate of return of 8%? (Note that the "rate of return" is the same thing as "interest" for the sake of Mathematical calculations, but it is not the same in terms of what taxable income must be reported to the IRS.)