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A maximizing consumer with m = 1700 has utility u = y1/2h1/2 where y is spending on a composite commodity pY = 1 and h is the size of her apartment in square metres with p = 6 dollars per square metre. She must commute d = 100 kilometers per month to her place of employment. Commuting costs t = 5 per kilometer. a. Compare d = 100 Mississauga to rents, for d = 40 Harbourfront (moving inward), and d = 160 Barrie (moving outward).

Please show detailed calculation on how to get h and p for:

ii) for d=40 in Harbourfront, (answer is h2 = 80 sq m, p2 = $9.375)

iii) for d = 160 in Barrie. (answer is h3 = 133.33 sq m, p3 = $3.375)