As a bicycle salesperson, norman earns a fixed salary of $20 per week plus $6 per bicycle for the first 6 bicycles he sells, $12 per bicycle for the next 6 bicycles he sells, and $18 per bicycle for every bicycle sold after first 12. this week, he earned more than twice as much as he did last week. if he sold x bicycles last week and y bicycles this week, which of the following statements must be true?

i. y> 2x
ii. y> x
iii. y> 3

a. i only
b. ii only
c. i and ii
d. ii and iii
e. i, ii, iii

Afirm plans to begin production of a new small appliance. the manager must decide whether to purchase the motors for the appliance from a vendor at $10 each or to produce them in-house. either of two processes could be used for in-house production; process a would have an annual fixed cost of $200,000 and a variable cost of $7 per unit, and process b would have an annual fixed cost of $175,000 and a variable cost of $8 per unit. determine the range of annual volume for which each of the alternatives would be best. (round your first answer to the nearest whole number. include the indifference value itself in this answer.)