Mr. Moneybags has built a secret high-security vault in his mansion, which he intends to fill with gold bars andsacks of cash. Each gold bar weighs 12.5 kg and is worth $0.5 million. Each sack of cash holds $1 million andweighs 12 kg. Mr. Moneybags wants the vault to contain at least $100 million in total value, and (because he isenthralled by shiny objects) insists upon including at least 30 gold bars. However, the vault floor will support aweight of no more than 3200 kg. Set up a system of inequalities describing the feasible region that shows howmany gold bars and how many sacks of cash Mr. Moneybags can place in his vault. (You are not asked to make agraph or find corners!)
Mr. Moneybags has built a secret high-security vault in his mansion, which he intends to fill with gold bars and
sacks of cash. Each gold bar weighs 12.5 kg and is worth $0.5 million. Each sack of cash holds $1 million and
weighs 12 kg. Mr. Moneybags wants the vault to contain at least $100 million in total value, and (because he is
enthralled by shiny objects) insists upon including at least 30 gold bars. However, the vault floor will support a
weight of no more than 3200 kg. Set up a system of inequalities describing the feasible region that shows how
many gold bars and how many sacks of cash Mr. Moneybags can place in his vault. (You are not asked to make a
graph or find corners!)
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