You just sold short 600 shares of SkyCircuit Ltd., a tech startup, at a price of $88 per share. One year later, you cover your short position when the price drops to $77 per share. During the year, the company paid $0.60 per share in dividends. Assume an initial margin requirement of 55%. What is your percentage rate of return on this short-sale investment?Note: You may choose one of the following options to submit your answers:Type your complete answer directly in the answer field on Blackboard, ORType only the final answer in the Blackboard field, write “see answer on scratch paper,” and show your handwritten work to the camera before proceeding to the next question.

Information for questions 1-5 In a given market, inverse supply is given by pS = 10 + 2 qS, and inverse demand is given by pD = 100 – qD. For the first four questions, there is no government intervention of any kind, and this market is in a perfectly competitive equilibrium. It will be useful to draw a graph that allows you to keep track of all the numbers and areas. On that graph, place the supply and demand curves (hint: they are just straight lines, and you just need two points to know the entire line), and then all areas, quantities, or prices, that you may want to calculate. You may want to draw your graph roughly on scale, although strictly speaking that’s not necessary, since you won’t use the graph to read off any answers directly, just to keep track of all the numbers that you may need for future use. Only the exact answers are accepted, so make sure to double- and triple-check your reasoning and calculations. Suppose that producers can sell any quantity they wish, at a price of 70. Calculate the producer surplus.

For a square matrix A, if a row consists entirely of zeros, then its determinant is:

For a square matrix A, if two rows are identical, then its determinant is:

For a square matrix A, if there exists a matrix B such that AB=BA=I (Identity matrix), then B is called the:

The adjugate (or adjoint) of a square matrix A, denoted by adj(A), is the transpose of the matrix of:

If the determinant of a matrix formed by a set of vectors is zero, then the set of vectors is:

The transpose of a matrix A, denoted by A^T, is obtained by:

Cramer’s rule provides a method for solving systems of linear equations Ax=b when:

If A is a m×p matrix and B is a q×n matrix, under what condition is the matrix product AB defined?