Tracy consumes dress shoes (d) and casual crocs (c). her marginal utility from consuming casual crocs is mu subscript upper cequals20dc and her marginal utility from consuming dress shoes is mu subscript upper dequals10upper c squared. her annual shoe allowance is $270, which she spends on only dress shoes and crocs. if she pays $30 for a pair of dress shoes and $30 for a pair of crocs, what is her optimal consumption bundle? tracy's satisfaction-maximizing bundle contains 3 3 pairs of crocs and 6 6 pairs of dress shoes. (enter your responses using integers.)

Bandar industries berhad of malaysia manufactures sporting equipment. one of the company’s products, a football helmet for the north american market, requires a special plastic. during the quarter ending june 30, the company manufactured 35,000 helmets, using 22,500 kilograms of plastic. the plastic cost the company $171,000. according to the standard cost card, each helmet should require 0.6 kilograms of plastic, at a cost of $8 per kilogram. 1. what is the standard quantity of kilograms of plastic (sq) that is allowed to make 35,000 helmets? 2. what is the standard materials cost allowed (sq x sp) to make 35,000 helmets? 3. what is the materials spending variance? 4. what is the materials price variance and the materials quantity variance?