Badgett's Gadgets produces gadgets with the production function, y=x 1 1/3 x 2 1/3 , where x 1 is the quantity of labor input, x 2 is the quantity of capital input, and y is the quantity of output. In the short run, Badgett's capital input is fixed at x 2 0 =8, and so its short run production function is y=x 1 1/3 (8) 1/3 =2x 1 1/3 . The per-unit price of labor input is w 1 =20 and the per-unit price of capital input is w 2 =40. If Badgett's is a price taker in the output market and can sell as many gadgets as it wishes at a per-unit price of p, what is the lowest value of p at which Badgett's is willing to supply a positive quantity of output in the short run? Badgett's will supply a positive quantity of output of for any p>0. Badgett's will supply a positive quantity of output of for any p>120. Badgett's will supply a positive quantity of output of for any p>80. Badgett's will supply a positive quantity of output of for any p>40