Set up and solve the following problem using the solver, and attach a copy the output to this problem.
min 17a + 19b + 23c + 18d + 21e + 20f
s. t.
2a + 3b + 3c ≤ 14000 (constraint 1)
0.25a + 0.3b + 0.45c ≤ 1600 (constraint 2)
a ≥ 0.4 (b + e) (constraint 3)
b ≥ 0.6 (a + d) (constraint 4)
c ≥ 0.3 (c + f) (constraint 5)
a + d ≥ 1500 (constraint 6)
b + e ≥ 3000 (constraint 7)
c + f ≥ 1200 (constraint 8)
a, b, c, d, e, f ≥ 0
what are the optimum value of a, b, c, d, e, f
the optimum value of the objective function =
what constraints are binding?

Each of the following data sets has a mean of x = 10. (i) 8 9 10 11 12 (ii) 7 9 10 11 13 (iii) 7 8 10 12 13 (a) without doing any computations, order the data sets according to increasing value of standard deviations. (i), (iii), (ii) (ii), (i), (iii) (iii), (i), (ii) (iii), (ii), (i) (i), (ii), (iii) (ii), (iii), (i) (b) why do you expect the difference in standard deviations between data sets (i) and (ii) to be greater than the difference in standard deviations between data sets (ii) and (iii)? hint: consider how much the data in the respective sets differ from the mean. the data change between data sets (i) and (ii) increased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). the data change between data sets (ii) and (iii) increased the squared difference îł(x - x)2 by more than data sets (i) and (ii). the data change between data sets (i) and (ii) decreased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). none of the above

Rounded to the nearest tenth, what is the value of x

After reading 80% of her e-mails in her inbox, danette still has m unread e-mails. which of the following expressions could represent the number of e-mails danette had in her inbox before she started reading? choose 2 answers: (choice a) 5m (choice b) 1.8m (choice c) 80m (choice d) m/0.8 (choice e) m/1−0.8