Implement the following LP problem in a spreadsheet. Use Solver to solve the problem and create a Sensitivity Report. Use this information to answer the following questions: What range of values can the objective function coefficient for variable assume without changing the optimal solution? Is the optimal solution to this problem unique, or are there alternate optimal solutions? How much does the objective function coefficient for variable have to increase before it enters the optimal solution at a strictly positive level? What is the optimal objective function value if equals 1? What is the optimal objective function value if the RHS value for the second constraint changes from 15 to 25? Is the current solution still optimal if the coefficient for in the second constraint changes from 5 to 1? Explain.

Write a modular program (no classes yet, just from what you learned last year), that allows two players to play a game of tic-tac-toe. use a two-dimensional char array with 3 rows and 3 columns as the game board. each element of the array should be initialized with an asterisk (*). the program should display the initial board configuration and then start a loop that does the following: allow player 1 to select a location on the board for an x by entering a row and column number. then redisplay the board with an x replacing the * in the chosen location. if there is no winner yet and the board is not yet full, allow player 2 to select a location on the board for an o by entering a row and column number. then redisplay the board with an o replacing the * in the chosen location. the loop should continue until a player has won or a tie has occurred, then display a message indicating who won, or reporting that a tie occurred. player 1 wins when there are three xs in a row, a column, or a diagonal on the game board. player 2 wins when there are three ox in a row, a column, or a diagonal on the game board. a tie occurs when all of the locations on the board are full, but there is no winner. input validation: only allow legal moves to be entered. the row must be 1, 2, or 3. the column must be 1, 2 3. the (row, column) position entered must currently be empty (i.e., still have an asterisk in it).

List a few alternative options and input and output over the standerd keyboard and monitor. explain their functioning in details.

To produce a starlight effect in her photograph, lina should choose the filter for her camera.