given red brick r has profit of 140ton redest brick rr has profit of 160ton objective function z

Name: given red brick r has profit of 140ton redest brick rr has profit of 160ton objective function z 140 r 160 rr given constraints clay r 2 m3ton rr 4 m3ton available 28 m3wk blending r 5 hrton 15003
Uploaded: 2023-05-14T22:57:53-08:00
Duration: 1 min 39 s
Channel: Numerade
Description: given red brick r has profit of 140ton redest brick rr has profit of 160ton objective function z 140 r 160 rr given constraints clay r 2 m3ton rr 4 m3ton available 28 m3wk blending r 5 hrton 15003

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Question

Given: Red Brick (R) has a profit of $140/ton. Redest Brick (RR) has a profit of $160/ton. Objective function: Z = $140R + $160RR Given (constraints): Clay: R - 2 m3/ton, RR - 4 m3/ton, available: 28 m3/wk Blending: R - 5 hr/ton, RR - 5 hr/ton, available: 50 hr/wk Curing: R - 8 ton/wk, RR - 6 ton/wk Constraint equations (based on c): 2R + 4RR â‰¤ 28 5R + 5RR â‰¤ 50 R â‰¤ 8 RR â‰¤ 6 (1) Find the maximum Z, with corresponding R and RR values. (2) Provide a graphical solution (note: plotting of all relevant curves is required).

          Given:
Red Brick (R) has a profit of $140/ton.
Redest Brick (RR) has a profit of $160/ton.

Objective function:
Z = $140R + $160RR

Given (constraints):
Clay: R - 2 m3/ton, RR - 4 m3/ton, available: 28 m3/wk
Blending: R - 5 hr/ton, RR - 5 hr/ton, available: 50 hr/wk
Curing: R - 8 ton/wk, RR - 6 ton/wk

Constraint equations (based on c):
2R + 4RR â‰¤ 28
5R + 5RR â‰¤ 50
R â‰¤ 8
RR â‰¤ 6

(1) Find the maximum Z, with corresponding R and RR values.
(2) Provide a graphical solution (note: plotting of all relevant curves is required).

Added by Bradley B.

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