Question

3. The table below gives some values of the function G(m, p) that gives the cost, in cents, of a phone call that lasts m minutes when the call is made from zone p. m, length of call (in minutes) Circle the two critical points within the body of the table. Write each point in mathematical notation and classify the point as a relative maximum, relative minimum or saddle point 3 5 7 1 99 98 97 2 110 109 109 3 96 97 96 G( is a 4 72 71 73 G is a 5 46 48 47 6 33 32 36 Explain why G(3,6) 32 is not a relative minimum. 7 43 45 44 zone p

Answer 1

Solurtion m length cal (n mnute) 3 2 96 4 72 23 46 32 36 43 45 The Hathemaascaul motation Af-fimetion Gmis GL5,) caC2) 22 CANERS -- 32 43 48 - 33 96 23

phore Call h Cost 5rortes cai made foom 3onc 2 maumun when the relative mau mu En C5,2) cal thert last in phone he CL Cost of ahen ti mcacfrom Zonc 6 minf, Simin Telabvc mi nimum 32 25 3, 2 3 minimum C03t the athen CoSt in the ve) the relative to Telahve ninimur. tabc SD