Question & Answer: Operation research use LP formulaThe Dakota上umture Company manuractures…..

Operation research
use LP formulaThe Dakota上umture Company manuractures desks, tables, and chairs. Ine manufacture of each type of furniture requires lumber and two types of skilled labor: finishing and carpentry. The amount of each resource needed to make each type of furniture is given in Table 4. Z TA B LE Resource Requirements for Dokoto Furniture Desk 8 board ft 2 hours Table 6 board ft 1.5 hours Chair 1 board ft 0.5 hour Resource Lumber Finishing hours 4 hours 2 hours 15 hours Carpentry hours At present, 48 board feet of lumber, 20 finishing hours, and 8 carpentry hours are available. A desk sells for $60, a table for $30, and a chair for $20. Dakota believes that demand for desks and chairs is unlimited, but at most five tables can be sold. Since the available resources have already been purchased, Dakota wants to maximize total revenue. Defining the decision variables as