Please show or explain how you got your answers, I am trying to learn this, not

Question

Please show or explain how you got your answers, I am trying to learn this, not just copy it down. Thx! :) Mr. McGregor owns a 5 acre cabbage patch. he forces his wife, Flopsy, and his son Peter to work for no wages. Assume for the time being that Flopsy and Peter can't find other work and the land can't be used for anything other than growing cabbage. Th eonly input McGregor has to pay for is fertilizer. If he uses x sacks of fertilizer, the amount of cabbages he gets is10sqrt(x). fertilizer costs $1 per sack. a) What is the total cost of the fertilizer neede to produce 100 cabbages? What is the total cost of the amount of fertilizer needed to produce (y) cabbages? b) If the only way that McGregor can vary his output is by varying the anount of fertilizer applied to his cabbage patch, write an expression for his marginal cost, as a dfunction of y. MC(y)=__________ c) If the price of cabbages is $2 each, how many cabbages will McGregor produce? How many sacks of fertilizer will he buy? How much rpofit will he make? d) The price of fertilizer and of cabbages remain as before, but McGregor learns that he could find summer jobs for Flopsy and Peter in a local sweatshop. Flopsy and Peter would together earn $300 for the summer, which mcgregor could pocket, but they would have no time to work in the cabbage patch. Without their labor, he would get no cabbages. Now what is Mcgregors toatl acost of producing y cabbages? e) should he continue to grow cabbages or shouls he put flopsy and Peter to work in the sweatshop?

Explanation / Answer

given,the amount of cabbages he get for x sacks of fertilizers=10sqrtx........a)total cost of fertilizers needed for 100 cabbages is 10sqrtx=100=>x=100sacks....hence 100*1=100 $ .toatal cost of fertilizers needed to produce (y) cabbages 10sqrtx=y=>x=(y/10)^2*1=(y/10)^2 $ b) y=10sqrtx=>x=(y/10)^2...MC=dc/dx=y/5

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