greatsavagebeast
24.11.2020 •
Business
The Carbon coal company has 2 mines, a surface mine ad a deep mine. it costs $200 per day to operate the surface mine and $250 to operate the deep mine. Each mine produces a medium grade and a medium-hard grade coal, but in different proportions. This surface mine produces 12 tons of medium grade and 6 tons of medium-hard grade coal per day, and the deep mine produces 4 tons of medium grade and 8 tons of medium-hard grade coal every day. The company has a contract to deliver at least 600 tons of medium grade and 480 tons of medium-hard grade coal within 60 days. How many days should each mine be operated so that the contract can be filled at minimum cost
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Ответ:
The company should operate the surface mine for 40 days and the deep mine for 30 days. Total costs = $15,500
Explanation:
we have to minimize the following equation: 200S + 250D
where:
S = surface mine
D = deep mine
the constraints are:
12S + 4D ≥ 600 (medium grade coal constraint)
6S + 8D ≥ 480 (medium hard coal constraint
S ≤ 60
D ≤ 60
S, D ≥ 0
S, D are integers
using solver, the optimal solution is 40S + 30D = $15,500
Ответ:
A. Angles 1 and 5 are congruent corresponding angles
Step-by-step explanation: