A company manufactures running shoes and basketball shoes. the total revenue (in thousands of dollars) from x1 units of running shoes R = 5x12 8x22 2x1x2 + 34x1 + 116x2,
where x1 and x2 are in thousands of units. Find x1 and x2 so as to maximize the revenue.
x1 =
x2 =

Total solidification times of three casting geometries are to be compared: a sphere, a cylinder, in which the length-to-diameter ration - 1.0, and a cube. volume = 1000 cm^3 for all three shhapes, and the same casting alloy is used. a) determine the solidification times of each geometry b) based on the results of part (a), which geometric element would make the best riser? c) if the mold constant = 3.5 min/cm^2 in chvorinov's rule, compute the total solidification time for each casting.

What is the power rating of the lightbulb if 3.0 a flow through it when connected to a 15 v battery

The atoms in a nickel crystal vibrate as harmonic oscillators with an angular frequency of 2.3 × 1013 rad/s. the mass of a nickel atom is 9.75 × 10-26 kg. what is the difference in energy between adjacent vibrational energy levels of nickel? (h = 6.626 × 10-34 j • s, , 1 ev = 1.60 × 10-19 j)