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3. To improve students' performance, JPIA is offering a twoday tutorial on Management Science and threeday tutorial on Financial Accounting. The JPIA president requested at least eight tutorial sessions on Management Science and l0 tutorial sessions on Financial Accounting be conducted in the next period. In addition, the program head has specified that at least 25 tutorial sessions must conducted for the next six months. JPIA is hiring an outside tutor to facilitate the sessions. The conSultant has 84 days available for contact sessions. Each tutorial session for Management Science costs $10,000 while Financial Accounting costs $8,000. a. Formulate a linear programming model that can be used to determine the number of tutorial sessions for both subjects that can be offered to minimize the total cost. b. Graph the feasible region. c. Solve for the optimal solution. 4. MTC produces two types of dresses regular dress and premium dress. The profit contribution is $0.3 for the regular dress and $0.5 for the premium dress. Each regular dress requires 0.3 yard of premium cloth while premium dress requires 0.6 yard of premium cloth. For the next manufacturing cycle, MTC has 18,000 yards of premium cloth. The production plant has a production capacity of 50,000 dresses and it is expected that the demand for premium dresses will be at most 20,000 pieces. a. Create a linear programming model that can be used to determine the number of regular and premium dresses to be produced to maximize total profit contribution. b. What is the optimal solution? c. What are the values of the slack variable? d. If the profit contribution for regular dress remains constant, what is the range of prices for premium dress that will make the current solution still optimal? e. If the profit contribution for premium dress remains constant, what is the range of prices for regular dress that will make the current solution still optimal? BONUS Lucky Chinatown wants to determine how to efficiently allocate its advertising budget of $l,000 between radio and TV advertising. The marketing manager agrees that both advertising type should be at least 25 percent of the budget and that TV advertising must be at least twice the amount spent on radio advertising. Based on the research of Marketing group for the index measuring audience exposure per dollar of advertising, the index for each type of advertising is valued as follows: Radio Advertising 50 TV Advertising 80 a. Create a linear programming model that may be used to decide how Lucky Chinatown should distribute its advertising spend to maximize the value of overall audience exposure. b. What is the optimal solution