1. Profit is equal to revenue minus cost, where revenue equals price times quantity of output, while cost equals the wage rate times employment (assuming wages are the only cost of production). Assume that, on average, each firm produces 100 units of output a day, employs 90 workers, and pays a wage of $100 a day.

a) As the price of output rises from $80 to $90, $100, $110, and $120, show how the profitability of firms changes.
b) At which of these price levels will firms have an incentive to raise or lower output?
c) From these observations, construct an aggregate supply curve.

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?

Examine the paragraph proof. which theorem does it offer proof for? prove jnm – nmi according to the given information in the image. jk | hi while jnm and lnk are vertical angles. jnm and lnk are congruent by the vertical angles theorem. because lnk and nmi are corresponding angles, they are congruent according to the corresponding angles theorem. finally, jnm is congruent to nmi by the transitive property of equality alternate interior angles theorem gorresponding angle theorem vertical angle theorem o same side interior angles theorem

Change negative exponents to positive. then solve. round to four decimal places