Question 1:Steel mills in three cities produce the following amounts of steel: Location Weekly Production(tons)A. Bethlehem 180B. Birmingham 260 260C. Gary 310Total 740These mills supply steel to four cities, where manufacturing plants have the following demand: Location Weekly Demand(tons)1. Detroit 1602. St. Louis 1203. Chicago 1704. Norfolk 220Total 670TOFROM 1 2 3 4A. $130 $90 $140 $170B. $120 $110 $70 $100C. $180 $130 $100 $210Because of a truckers' strike, shipments are prohibited from Birmingham to Chicago. Solve this problem by Least Method Cost Method.

Question 2:A company manufactures two types of products, Product A and Product B. Each unit of Product A contributes a profit of $8, and each unit of Product B contributes a profit of $10. The company has limited resources: 100 hours of labor and 80 units of raw material. Product A requires 2 hours of labor and 4 units of raw material per unit, while Product B requires 3 hours of labor and 2 units of raw material per unit. The company wants to determine how many units of each product to produce to maximize their total profit. Using the graphical method, answer the following questions:1- Formulate the objective function for this problem.2- Write down the constraints for the company's resources (labor and raw material).

3- make a graph with Product A on the x-axis and Product B on the y-axis. Plot the feasible region based on the resource constraints.4- Identify the corner points of the feasible region.5- Calculate the objective function value at each corner point.6- Determine which combination of Product A and Product B should be produced to maximize the company's profit.7- What is the maximum profit the company can achieve?