a. The use of the table p[j] is to check for compatibility of job j-1 and job j. b. OPT(p[j]) is a recursive call our algorithm makes in order to compute the optimum. c. OPT(p[j]) is guaranteed to be computed before OPT(j). d. All the above
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- An online music and apps store offers all apps for 3$ each and all songs for 7$ each. The store requires members to prepay any amount of money they wish, and then download as many apps or as many songs accordingly. You are required to write a program that would ask the user for the amount that he/she will pay, then display two messages indicating: -the maximum number of apps that can be downloaded, and how much funds will remain in the account after that, if any. -the maximum number of songs that can be downloaded, the number of apps that can be downloaded after that if funds allow, and how much funds will remain in the account after that, if any. Notice the parenthesis in app(s) and song(s) in the output. For this assignment, assume that the user will always enter a valid integer value that is >= 0, and within the limit of the integer range. Here is an example of how your program should behave (the value (shown in bolded italic for clarification purpose only) is entered by the…A 3x3 design means that there are 3 ____ variables to be considered.1. Complete an algorithm, code and compile the following program. Save the program as mathTutor.py. Math Tutor You will be creating a math tutor program that can be used for young children to practice their math skills. The program will be driven by the following menu: See Rules Practice Math Exit If the user chooses (1) from the menu, the following rules will be displayed: This program will help you practice your math skills. First, you will choose Addition, Subtraction or Multiplication. Next, you will choose a level. Level 1 will give you problems with single digits and Level 2 will use two-digit numbers. Then, you will choose how many math problems you would like to complete. After you have completed all your problems, you will be given a score. You can play as many times as you want. Have fun!! If the user chooses (2) from the menu: First, prompt from the following math operation menu: Addition Subtraction Multiplication Next, prompt from the following level menu:…
- You may choose more than one. Programming languages implement the following variable typing: 1) Random 2) Inferred 3) Dynamic 4) Strict 5) Constant 6) ImplicitModule main() // Local variables Declare Integer gramsFat, calories // Get fat grams Set gramsFat = getFat() // Get calories Set calories = getCalories(gramsFat) // Show percent calories from fat Call showPercent(gramsFat, calories) End Module // The getFat function gets grams of fat Function Integer getFat () Declare Integer inputAmount // enter count Display “Enter grams of fat: “ Input inputAmount // validate rate While inputAmount < 0 Display “Quantity must not be less than 0!” Display “Enter a valid quantity.” Input inputAmount End While return inputAmount End Function // The getCalories function gets number of calories Function Integer getCalories(gramsFat) Declare Integer inputAmount, maxCalories Set maxCalories = gramsFat * 9 // enter count Display “Enter number of calories: “…A misspelled variable or function would produce a error. runtime O syntax logical O semantics