4. An enclosure composed of a rectangular portion and a semicircular portion is to be enclosed by a fence (solid line/curve). As described in more detail below, you will write a program that determines the cost of fence for the enclosure. Note that the cost per foot CostC for the curved portion of fence is greater than the cost Costs for the straight portion. a. Write a function FenceCost that will accept as input arguments values of the total enclosure Area, the radius dimension R, and the costs per foot CostC and Costs for the curves and straight fencing, respectively, and will return as output argument the total cost of fence. (Hint: write an equation for Area and use it to determine a value for L based on the inputs.) Test your function by verifying that it gives a result of $2181 for the following input values: Area = 3000 ft2, R = 20 ft, CostC = $12 per foot, CostS-= $9 per foot. b. Write a script (program) that uses a nested for loop structure and fprintf to print a table of fence costs for R values ranging from 10 to 40 ft in steps of 5, and Area values ranging from 2500 to 3500 ft2 in steps of 100. (Use CostC = $12ft and CostS¬ = $9/ft as before.) Call the function with scalar values of R and Area to calculate each fence cost; do NOT use any arrays in this program. c. Write a script that instead uses a "vectorized" approach, making use of the meshgrid function, to calculate all of the same fence cost values above without using any loops, but still using the FenceCost function to perform the calculation. In this case, display the fence cost values in a properly-labelled 3D plot rather than in a table. d. Write a script that prompts the user for the enclosure area, and then determines and outputs the minimum total fence cost, along with the corresponding enclosure dimensions R and L. Use the fencing costs per foot CostC and Costs from part (a) above. Test your program for a user input of Area = 3000 ft2. (Hint: use fminbnd on a function handle that uses FenceCost, but is defined as a function of only R.)