The long life nursing home recently bought new equipment for thekitchen with the hopes of increasing food worker productivity.Based on the cost of the equipment and its lifetime , it hasbeen estimated that the investment will be worthwhile if they canimprove productivity by 5 percent last year beforeundertaking the purchase a special study was conducted itsresults indicated that it took 15 minute to prepare a standard ,meal 18 to prepare a low- sodiummeal and on average 24 minutes to prepare meals with otherspecial requirements, last year the nursing homeprepared 200,000 standard meals, 40,000 low-sodium meals, and50,000 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 partialproductivity ratio, determine if the nursing home achieved the desired 5% productivity gain.