The wholesale price p of e-tablet writing styluses in dollars is related to the supply x in thousands of units by 500p² ? x² = 1996, If 2,000 styluses are available at the beginning of a week, and the price is falling at 6 cents per week, then supply is falling or rising

at a rate of ____ styluses per week.

The wholesale price p of e-tablet writing styluses in dollars is related to the supply X in thousands of units by 500p2 x2 = 1996, If 2,000 styluses are available at the beginning of a week, and the price is falling at 6 cents per week, then supply is falling rising K at a rate of 30 x styluses per week. 500p2 - x2 = 1996 Get the price p at 2000 supply of styluses, that is get p at x = 2 500p2 - 22 = 1996 1996 + 4 P = 500 P = 2 Get the derivative of p and x with respect to time t, then substitute the given and found values. Solve for dx/dt where 6 cents = 0.06 dp dx 1000P it dt : 0 dx dp 2x It = 1000p dt dp dx 1000p dt dt 2x dx 1000(2) (-0.06) dt 2(2) dx = -30 dt Since dx/dt is negative , the supply is falling The supply is falling at a rate of -30 styluses per week