Question

U Wiel Suc a system blas a unique solution, What must the soli. . . A sustainable energy company is developing an electric power strategy for a new region; they will be deploying a combination of solar arrays, wind farms, and waste combustion plants. Each class of plant has different outputs that vary with season, and consumer demand also varies with season; all this is summarized in the following table (all values are in GWh/day); Solar: Wind: Waste: Demand: Spring Summer 4 10 6 11 4 4 70 125 Fall Winter 6 2 10 . 9 4 4 100 75 Set up the problem as a linear system, and use Gaussian elimination to determine how many plants of each type should be deployed. 5. (Tucker 3.2.20) An analyst at an smart phone company is trying to find out the production targets of a competitor based on information about their supply chain. The competitor makes three phones: one uses 2 CPUs, 1 communications board and 2 cameras; a second uses 1 CPU, 2 communications board and 1 camera, and the third uses 1 CPU, 1 com- munications board and 1 camera. They have supply orders for 450,000 CPUs, 300,000 communications boards, and 350,000 cameras. How many of each product do you think the competitor is planning on producing?

Answer 1

spring Summere fell waites - I Salar. wind waste Demand I 70 125 100 75 bet di = denote, the number of plants of solar - 1 - plantso wird - = -_ plants of waste = -6 - 4211+6212 +4542 to (spring) .102, +1131.2 + 4313 = 125 (Summies) G#, +10012 + 40g = 100 ( Feell) 2011 + 902 +44275 (water) - 4 ][34] 7707 10.114 22 = 1125 610 0 . 4 1751 Lue 470 I . 125 1 100 T . 29 1. 10 ER Эі, т. 356 114 DE 125 100 4. 75 1

R2 R2-10R, R32 Rg - GR1, Rus Pu-2R 3512 O -4 -6 -50 -5 46 o R2 1 372 1 . 2512 ó -5 40 Ry-6R2 -2 G 2 R3-R2, Cooooo - Ru 3512 2512 -3512 : -35 1 3/ 0 -7/ o O -7 Ru Ry - 2R3 1 / 1 0 1 372 0 0 -772 Lo 0 0 Roz - 2 R3 ci 32 0 I 32 0 0 o o GC- : 3/2 +352 -3572 0 o +2512 5 o J

A + + 1 t. 212 + 2 372 크 257) 25 Iss 어, + S2 월 2 그들 등 - 기 + + 5 - 3 9 +5 2 - t52 2010 기 + S - 10 ) MC- Ithese values also satisfy the con 4. so son b_MACS, M, CS A

Electronic Material supply order Availability CPU Comm.board - Types of phones 12 2 2. 2 1 450,000 3,00,000 3,50,000 Camera let - - a = 283 = H3 - denote the -1 - = -- quantity of phone I e phone 2. phone. 3. So 22, + H +2 = 4,50,000 (for Coul -6 Ble +2262 +213 = 3,00, ooo ( fers comme board ) - 2011 + 2 tan = 350,000 (for camera) write in matrix forem 4,50,000) 3,00,000 3,50,000 T21 1 i 4,50, cod 2 : 3,00,000 12 11: 3,50, ou from ean * 212, -36 = 1,500oo.

& egn - egn- -M + 10 = -50,000 -317 50oco -☺ from eam , 4 - 21-22 = 1:50,000 t H-12 = 50,000 1 Farabi & I So egno @ and 6 is inconsistent systero. 3o It has no solution