The long life nursing home recently bought new equipment for the kitchen with the hopes of increasing food worker productivity. Based on the cost of the equipment and its life time, it hasbeen estimated that the investment will be worthwhile if they canimprove productivity by 5 percent last year before undertaking the purchase a special study was conducted its results indicated that it took 15 minute to prepare a standard ,meal 18 to prepare a low- sodium meal and on average 24 minutes to prepare meals with other special requirements, last year the nursing home prepared 200,000 standard meals, 40,000 low-sodium meals, and 50,000 other special meals, this year, they prepared meals, 60,000 other special meals, the total time for the foodworkers this year was 76,500 hours using a partial productivity ratio, determine if the nursing home achieved the desired 5% productivity gain.