A. Create a consumer model that shows how economists explains the consumer choice between two products (X & Y) that maximize the consumer's utility. b. Show why the equilibrium point (tangency) shows the best bundle of X & Y and that any other point will not reflect a bundle that maximize consumers utility.
c. Derive the demand function from the consumer theory. Do not use numbers. Just graphs and detailed explanation.

Martha is the head of the accounts department in a small manufacturing company. the company follows the accrual-basis method of accounting. it recently purchased raw materials worth $5,000 from its vendors. however, the company paid only $3,000 to its vendors. it plans to pay the remaining amount after three months. considering this information, which entry should martha record in the company’s accounts? a. $5,000 as accounts receivable b. $3,000 as accounts payable c. $2,000 as accounts payable d. $2,000 as accounts receivable

Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.

Rachel died in 2014 and her executor is finalizing her estate tax return. the executor has determined that rachel’s adjusted gross estate is $10,120,000 and that her estate is entitled to a charitable deduction in the amount of $500,000. using 2014 rates, calculate the estate tax liability for rachel’s estate.