I only need help finding part c, i know the answer b/c it isin the back of the book, but i don't know how they got it, soplease show or explain how PART C isobtained, i have put theanswer at the bottom.Problem: An automobile manufacturing plant currently employs1500 workers and has capital investment of 4 million dollars permonth. the production function isQ = x0.4y0.6,where Q is the number of cars produced per month, x is thenumber of workers and y is capital investment. Each worker's salaryis $2100 per month and each unit ofcapital costs $1000 permonth.a) how many cars is the factory currently assembling eachmonth?b) due to sluggish economy, the factory decides to decreaseproduction to 2000 cars. how many workers will need to be laid off?and by what amount should investmentbe decreased?c) give the value of the lagrange multiplier, λ, andinterpret it in terms of the car factory.ANSWERS:a) 2707b) 495 workers;$835,142c)$2637.4 per car