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Burger Office Equipment produces two types of? desks, standard…
Burger Office Equipment produces two types of? desks, standard and deluxe. Deluxe desks have oak tops and? more-expensive hardware and require additional time for finishing and polishing. Standard desks require 65 board feet of pine and 11 hours of? labor, whereas deluxe desks require 45 board feet of? pine, 25 square feet of? oak, and 19 hours of labor. For the next? week, the company has 6000 board feet of? pine, 700 square feet of? oak, and 300 hours of labor available. Standard desks net a profit of
?$240 and deluxe desks net a profit of ?$340. All desks can be sold to national chains. After reviewing the hardware and labor? required, along with the profit for each? model, Burger Office Equipment found the accompanying linear optimization model for? profit, where S is the number of standard desks produced and D is the number of deluxe desks produced. Complete parts a through? d, answering each question independently relative to the original problem.
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Image transcription text
Maximize Profit = 240 S + 340 D 65 S + 45 D $ 6000 (Availability of pine) 25 D $ 700 (Availability of oak) 11 S +
19 D < 300 (Availability of labor) S 2 0 and D 20
Question content area bottom
Part 1
a. If 20?% of the pine is deemed to be cosmetically? defective, how will the optimal solution be? affected?
The optimal solution when 20?% of the pine is deemed to be cosmetically defective is to produce __
enter your response here __ standard? desk(s) and enter your response here __deluxe? desk(s). This solution gives the ?
minimum
maximum
possible? profit, which is __ ?$enter your response here.
This solution?
is not
is
the same as the original? solution, because the number of standard desks produced has
?
decreased,
stayed the same,
increased,
the number of deluxe desks produced has
?
decreased,
increased,
stayed the same,
and the profit has
?
increased.
decreased.
stayed the same.
?(Type integers or decimals rounded to two decimal places as? needed.)
Part 2
b. The shop supervisor is suggesting that the workforce be allowed to work an additional 50 hours at an overtime premium of
?$15?/hour.
Is this a good? suggestion? Why or why? not?
Since the cost of labor
?
is not
is
a binding? constraint, increasing the amount of labor
?
would
would not
increase the number of units that could be produced. At an additional cost of
?$15?/hour
for the overtime? labor, the standard desks would
?
no longer
continue to
be profitable and the deluxe desks would
?
no longer
continue to
be profitable.? Therefore, the overtime
?
would not
would
be a good suggestion.
Part 3
c. If the unit profit for standard desks is increased to
?$270?,
how will the optimal solution and total profit be? affected?
The optimal solution when the unit profit for standard desks is increased to
?$270
is to produce__
enter your response here___
standard? desk(s) and
enter your response here __deluxe? desk(s). This solution gives the
?
maximum
minimum
possible? profit, which is
?$enter your response here.
This solution
?
is not
is
the same as the original? solution, because the number of standard desks produced has
?
decreased,
stayed the same,
increased,
the number of deluxe desks produced has
?
stayed the same,
decreased,
increased,
and the profit has
?
stayed the same.
decreased.
increased.
?(Type integers or decimals rounded to two decimal places as? needed.)
Part 4
d. If the unit profit of standard desks is only
?$190?,
how will the optimal solution and total profit be? affected?
The optimal solution the unit profit of standard desks is only
?$190
is to produce
enter your response here__
standard? desk(s) and
enter your response here__
deluxe? desk(s). This solution gives the
?
maximum
minimum
possible? profit, which is__
?$enter your response here.
This solution
?
is not
is
the same as the original? solution, because the number of standard desks produced has
?
stayed the same,
increased,
decreased,
the number of deluxe desks produced has
?
increased,
decreased,
stayed the same,
and the profit has
?
stayed the same.
decreased.
increased.
?(Type integers or decimals rounded to two decimal places as? needed.)
