A firm produces two goods in pure competition and has the following total revenue and total cost functions: TR =P1Q1 +P2Q2 and

TC =2Q12 +Q1Q2 +2Q22

Where, P1 = 12 and P2 = 18.

Form the profit function and identity the critical valueQ1*.

Identity the critical value Q2*.

Construct the Hessian matrix and calculate the value of|H1|.

Calculate the value of |H2|.

Based on the values of Hessian, what can you say about the profit?

Miranda is braiding her hair.then she will attach beads to the braid.she wants 1_3 of the beads to be red.if the greatest number of beads that will fit on the braid is 12,what other fractions could represent the part of the beads that are red?

Boris needs to buy plastic spoons. brand a has a box 42 spoons for $2.37. brand b has a box of 72 spoons for $3.57. find the unit price for each brand. then state which brand is the better buy based on the unit price. round your answer to the nearest cent.

Unaware that 35% of the 10000 voters in his constituency support him, a politician decides to estimate his political strength. a sample of 200 voters shows that 40% support him. a. what is the population? b. what is the parameter of interest? state its value c. what is the statistics of the interest? state its value d. compare your answers in (b) and (c) is it surprising they are different? if the politician were to sample another 200 voters, which of the two numbers would most likely change? explain