A small economy has only two consumers, Samuel and Eleanor. Samuel's utility function is U(x, y) = x + 18y1/2. Eleanor's utility function is U(x, y) =x+ 3y. Samuel is endowed with 135 units of x and 60 units of y. They make trades to reach a Pareto optimal allocation of resources in which both persons consume positive amounts. How much y does Samuel consume? Select one: a. 18 units b. 7 units c. 9 units d. 12 units e. There is not enough information to determine how much y he will consume.

Abbot and Bono consume only two goods, X and Y. They have strictly convex preferences and no kinks in their indifference curves. At the initial allocation, the ratio of Abbot's marginal utility of X to his marginal utility of Y is A and the ratio of Bono's marginal utility of X to his marginal utility of Y is B, where A<B. The competitive equilibrium price ratio is p_x/p_y=C.

Select one:

a. C=B.

b. C<A.

c. A<C<B.

d. C=A.

e. C>B.

Sonny and Cher are quarantined together during a pandemic and trade with no one but each other. They consume only apples and oranges. Sonny has an initial endowment of 6 apples and 19 oranges. Cher has an initial endowment of 18 apples and 20 oranges. For Sonny, the two goods are perfect substitutes, one for one. For Cher, they are perfect complements, one for one. At all Pareto efficient allocations,

Select one:

a. Sonny must consume at least 25 oranges.

b. Cher must consume 17.50 apples.

c. the slopes of the two traders' indifference curves are the same.

d. Sonny must consume at least 15 oranges.

e. Cher must consume all of the apples.

A competitive firm produces a single output using several inputs. The price of output rises by $4 per unit. The price of one of the inputs increases by $4 and the quantity of this input that the firm uses increases by 16 units. The prices of all other inputs stay unchanged. From the weak axiom of profit maximization we can tell that

Select one:

a. the inputs of the other factors must have stayed constant.

b. the output of the good must have decreased by at least 8 units.

c. the inputs of at least one of the other factors must have decreased by at least 16 units.

d.the inputs of at least one of the other factors must have increased by at least 16 units.

e.the output of the good must have increased by at least 16 units.

Both are question correct asap

Dont answer by pen pepar