Jon has complete and transitive preferences on bundles of sodas and pizza. Jon finds one soda and two slices of pizza at least as good as two sodas and a slice of pizza. Moreover, two sodas and a slice of pizza is not at least as good as one soda and two slices of pizza. Then, we know that:

1. Jon is indifferent between two sodas and one slice of pizza and one soda and two slices of pizza.
2. Jon prefers one soda and two slices of pizza to two sodas and one slice of pizza.
3. Jon’s utility function is differentiable.
4. Jon’s preferences satisfy more is better.
5. Jon prefers two sodas and one slice of pizza to one soda and two slices of pizza.

Afirm’s production function is represented by q(m,r) = 4m 3/4r1/3, where q denotes output, m raw materials, and r robots. the firm is currently using 6 units of raw materials and 12 robots. according to the mrts, in order to maintain its output level the firm would need to give up 2 robots if it adds 9 units of raw materials. (a) true (b) false

Horace society is planning its annual western fair raceway gala. the gala committee has assembled the following expected costs for the event: dinner (per person) $10 gaming token and program (per person) $2 prize payouts $4,300 tickets and advertising $800 private box suite rental $1,700 lottery licenses $200 the committee members would like to charge $40 per person for the evening’s activities.required: 1. what is the break-even point for the dinner-dance (in terms of the number of persons who must attend)? 2. assume that last year only 200 persons attended the dinner-dance. if the same number attend this year, what price per ticket must be charged in order to break even? 3. refer to the original data ($40 ticket price per person). prepare a cvp graph for the dinner- dance from zero tickets up to 600 tickets sold.

Summarize the specific methods used by interest groups in order to influence governmental decisions making in all three branches of government. provide at least two examples from each branch.