. A chemical company manufactures three chemicals:A, B, and C. These chemicals are produced via twoproduction processes: 1 and 2. Running process 1for an hour costs $400 and yields 300 units of A,100 units of B, and 100 units of C. Running process 2for an hour costs $100 and yields 100 units of A and100 units of B. To meet customer demands, at least1000 units of A, 500 units of B, and 300 units of Cmust be produced daily.a. Use Solver to determine a daily production planthat minimizes the cost of meeting the company’sdaily demands.b. Confirm graphically that the daily production planfrom part a minimizes the cost of meeting thecompany’s daily demands.c. Use SolverTable to see what happens to thedecision variables and the total cost when thehourly processing cost for process 2 increases inincrements of $0.50. How large must this costincrease be before the decision variables change?What happens when it continues to increasebeyond this point?
. A chemical company manufactures three chemicals:
A, B, and C. These chemicals are produced via two
production processes: 1 and 2. Running process 1
for an hour costs $400 and yields 300 units of A,
100 units of B, and 100 units of C. Running process 2
for an hour costs $100 and yields 100 units of A and
100 units of B. To meet customer demands, at least
1000 units of A, 500 units of B, and 300 units of C
must be produced daily.
a. Use Solver to determine a daily production plan
that minimizes the cost of meeting the company’s
daily demands.
b. Confirm graphically that the daily production plan
from part a minimizes the cost of meeting the
company’s daily demands.
c. Use SolverTable to see what happens to the
decision variables and the total cost when the
hourly processing cost for process 2 increases in
increments of $0.50. How large must this cost
increase be before the decision variables change?
What happens when it continues to increase
beyond this point?
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