RX Ltd would like to buy a computer for each of its 10 employees. The cost of the basic personal computer is f2,000, while the deluxe version is f,500. The budget is $27,000, although additional money could be used if it were deemed necessary (although this is not the preferred option). Management decided that at least three deluxe computers must be purchased. All of these are goals that the company has identified. Management wants to formulate this as a goal programming problem. Note: Let R= number of regular computers purchased D= number of deluxe computers purchased d1- = underachievement of goal of 10 computers to purchase d1+= overachievement of goal of 10 computers to purchase d2= unused budget d2+= additional monies required d3 - = underachievement of goal that the number of deluxe computers should be at least 3 d3+= overachievement of goal that the number of deluxe computers should be at least 3 The budget constraint is: 2000R+3500D+d2+d2+=27,0002000R+3500Dd2+d2+=27,0002000R+3500D+d2d2+=27,0002000R+3500D+d2+d2==27,0002000R+3500Dd2d2=27,000 RX Ltd would like to buy a computer for each of its 10 employees. The cost of the basic personal computer is f2,000, while the deluxe version is f,500. The budget is $27,000, although additional money could be used if it were deemed necessary (although this is not the preferred option). Management decided that at least three deluxe computers must be purchased. All of these are goals that the company has identified. Management wants to formulate this as a goal programming problem. Note: Let R= number of regular computers purchased D= number of deluxe computers purchased d1- = underachievement of goal of 10 computers to purchase d1+= overachievement of goal of 10 computers to purchase d2= unused budget d2+= additional monies required d3 - = underachievement of goal that the number of deluxe computers should be at least 3 d3+= overachievement of goal that the number of deluxe computers should be at least 3 The budget constraint is: 2000R+3500D+d2+d2+=27,0002000R+3500Dd2+d2+=27,0002000R+3500D+d2d2+=27,0002000R+3500D+d2+d2==27,0002000R+3500Dd2d2=27,000