restart; restart erases all variableswith(simplex):

Warning, the protected names maximize and minimize have been redefined and unprotected

Notation:mi = barrels of crude oil proceesed by method ig = gradeG = GasolineH = heating oilk = crackedeq_g6:= g6k+g6G+g6H = .2*m1+.3*m2+.4*m3;

NiM+SSZlcV9nNkc2Ii8sKEkkZzZrR0YlIiIiSSRnNkdHRiVGKUkkZzZIR0YlRiksKEkjbTFHRiUkIiIjISIiSSNtMkdGJSQiIiRGMEkjbTNHRiUkIiIlRjA=

This expresses the fact that grade 6 produced = grade 6 usedeq_g8:= g8k+g8G+g8H = .3*m1+.4*m2+.4*m3+g6k;

NiM+SSZlcV9nOEc2Ii8sKEkkZzhrR0YlIiIiSSRnOEdHRiVGKUkkZzhIR0YlRiksKkkjbTFHRiUkIiIkISIiSSNtMkdGJSQiIiVGMEkjbTNHRiVGMkkkZzZrR0YlRik=

This expresses the fact that grade 8 produced = grade 8 usedeq_g10:= g10G+g10H = .5*m1+.3*m2+.2*m3+g8k;

NiM+SSdlcV9nMTBHNiIvLCZJJWcxMEdHRiUiIiJJJWcxMEhHRiVGKSwqSSNtMUdGJSQiIiYhIiJJI20yR0YlJCIiJEYvSSNtM0dGJSQiIiNGL0kkZzhrR0YlRik=

eq_G:= G = g6G+g8G+g10G;

NiM+SSVlcV9HRzYiL0kiR0dGJSwoSSRnNkdHRiUiIiJJJGc4R0dGJUYqSSVnMTBHR0YlRio=

eq_G9:= g6G*6+g8G*8+g10G*10 >= 9*G;

NiM+SSZlcV9HOUc2IjEsJEkiR0dGJSIiKiwoSSRnNkdHRiUiIidJJGc4R0dGJSIiKUklZzEwR0dGJSIjNQ==

eq_Gmax:= G <= 2000;

NiM+SShlcV9HbWF4RzYiMUkiR0dGJSIlKz8=

eq_H:= H = g6H + g8H + g10H;

NiM+SSVlcV9IRzYiL0kiSEdGJSwoSSRnNkhHRiUiIiJJJGc4SEdGJUYqSSVnMTBIR0YlRio=

eq_H7:= g6H*6 + g8H*8 + g10H*10 >= 7*H;

NiM+SSZlcV9IN0c2IjEsJEkiSEdGJSIiKCwoSSRnNkhHRiUiIidJJGc4SEdGJSIiKUklZzEwSEdGJSIjNQ==

eq_Hmax:= H <= 600;

NiM+SShlcV9IbWF4RzYiMUkiSEdGJSIkKyc=

constraints:= {eq_g6, eq_g8, eq_g10, eq_G, eq_G9, eq_Gmax, eq_H, eq_H7, eq_Hmax};

NiM+SSxjb25zdHJhaW50c0c2IjwrLywoSSRnOGtHRiUiIiJJJGc4R0dGJUYqSSRnOEhHRiVGKiwqSSNtMUdGJSQiIiQhIiJJI20yR0YlJCIiJUYxSSNtM0dGJUYzSSRnNmtHRiVGKi8sJkklZzEwR0dGJUYqSSVnMTBIR0YlRiosKkYuJCIiJkYxRjJGL0Y1JCIiI0YxRilGKi9JIkdHRiUsKEkkZzZHR0YlRipGK0YqRjlGKjEsJEZBIiIqLChGQyIiJ0YrIiIpRjkiIzUxRkEiJSs/L0kiSEdGJSwoSSRnNkhHRiVGKkYsRipGOkYqMSwkRk4iIigsKEZQRkhGLEZJRjpGSjFGTiIkKycvLChGNkYqRkNGKkZQRiosKEYuRj5GMkYvRjVGMw==

revenue:= 11 * G + 6 * H;

NiM+SShyZXZlbnVlRzYiLCZJIkdHRiUiIzZJIkhHRiUiIic=

cost:= 3.4*m1 + 3*m2 + 2.6 *m3 + 1*g6k + 1.5*g8k;

NiM+SSVjb3N0RzYiLCxJI20xR0YlJCIjTSEiIkkjbTJHRiUiIiRJI20zR0YlJCIjRUYqSSRnNmtHRiUiIiJJJGc4a0dGJSQiIzpGKg==

profit:= revenue-cost;

NiM+SSdwcm9maXRHNiIsMEkiR0dGJSIjNkkiSEdGJSIiJ0kjbTFHRiUkISNNISIiSSNtMkdGJSEiJEkjbTNHRiUkISNFRi5JJGc2a0dGJUYuSSRnOGtHRiUkISM6Ri4=

sols:=maximize(profit,constraints,NONNEGATIVE);

NiM+SSVzb2xzRzYiPC8vSSRnOGtHRiUkIisrKysrWyEiKC9JIkdHRiUkIisrKysrPyEiJy9JIkhHRiUkIisrKysrZ0YrL0klZzEwSEdGJSQiIiFGOC9JJGc2R0dGJUY3L0kjbTFHRiVGNy9JJGc2SEdGJSQiKysrKytJRisvSSRnNmtHRiUkIisrKysrdUYrL0klZzEwR0dGJSQiKysrKys1RjAvSSRnOEdHRiVGRy9JI20zR0YlJCIrKysrK0VGMC9JJGc4SEdGJUY/L0kjbTJHRiVGNw==

subs(sols,profit);

NiMkIisrKytRPCEiJg==