Consider the following linear programming model with two decision variables, A and B.max,A+B,s.t. ,2A+B,60,2A+3B,90,A+2B,30,A,15,A+B,0Use the graphical solution method to determine the optimal solution to this linear programmingmodel. Be sure to draw and label all constraints, identify the feasible region, draw a representativeobjective function, identify the optimal solution, and indicate the optimal objective function value.#2LaneTec is a sporting equipment manufacturer that produces two different types of bowling balls,the PinSeeker and the StrikeRite. The profit margins are $20 for each PinSeeker ball and $15 foreach StrikeRite ball. The bowling balls are made using three separate processes: forming the core,adding the middle layers, and finishing with a urethane-resin mixture. There is one machine forforming the core and one machine for adding the middle layers; three machines are available forthe finishing process. Each machine can be operated for 10 hours per day. Both types of bowlingballs require 3 minutes to form their cores. Adding the middle layers takes 4 minutes per PinSeekerball, but only 2 minutes per StrikeRite ball. The finishing process takes 6 minutes per PinSeekerball and 10 minutes per StrikeRite ball.Formulate a linear programming model to determine the optimal number of each type of bowlingball that LaneTec should produce, with the goal of maximizing daily profit. Solve the LPus