Please solve the Graphical Solution of the Goal Programming problem

GOAL PROGRAMMING (GP) MODEL FORMULATION SAMPLE GP FORMULATION PROBLEM The 2 most important audiences for the ad campaigns are persons 1821 yrs. 01d and 25 30 yrs. Old. The table below presents estimates of the number of individuals in the 2 age groups expected to be exposed to the ads per P1,000 expenditure: Management has established a goal of reaching at least 250,000 persons in each of the age groups and ranks this as the 5th most important goal. In addition, management wishes to account for the fact that the purchasing power of the 2530 age group is 2x that of the 18-21 age group. Objective MinZ=P1d1+P2d2++P3d3++P4d4+P5d5+2P5d6 Subject to : Total exposure goal: 10,000x1+7,500x2+d1d1+=750,000 Total budget goal: x1+x2+d2d2+=100 TV budget goal: Total exposure goal: 10,000x1+7,500x2+d4d4+=1,000,000 18-21 yr-old goal: 2,500x1+3,000x2+d5d5+=250,000 25-30 yr-old goal: 3,000x1+1,500x2+d6d6+=250,000 x1,x2,d1,d1+,d2,d2+,d3,d3+,d4,d4+,d5,d5+,d6,d6+0 Where: x1= thousands of pesos for TV x2= thousands of pesos for radio d1=amount by which total exposures fall short of 750,000 d1+=amount by which total exposures exceed 750,000 d2=amount by which total expenditures fall short of P100,000 d2+=amount by which total expenditures exceed P100,000 d3=amount by which TV expenditures fall short of P70,000 d3+=amount by which TV expenditures exceed P70,000 d4=amount by which total exposures fall short of 1 million d4+=amount by which total exposures exceed 1 million d5=amount by which total exposures in the 18-21 age category fall short of 250,000 d5+=amount by which total exposures in the 1821 age category exceed 250,000 d6=amount by which total exposures in the 2530 age category fall short of 250,000 d6+=amount by which total exposures in the 2530 age category exceed 250,000 Pk= priority factor with rank k, with 1 representing highest priority. GOAL PROGRAMMING (GP) MODEL FORMULATION SAMPLE GP FORMULATION PROBLEM How much money should be allocated for television and radio advertisements given that rated exposures per P1000 of advertising expenditure are 10,000 and 7,500 , respectively, for TV and radio. The advertising budget is P100,000 and no more than 70% can be expended on TV. Supposed the problem is further modified to include management's ranking of the following goals, arranged from highest to lowest priority: 1. Minimize the underachievement of the exposure goal to 750,000 exposures 2. Avoid expenditures of more than P100,000 3. Avoid expenditures of more than P70,000 for TV 4. Minimize the underachievement of the goal of 1 million exposures