Destiny runs a factory that makes Blu-ray players. Each T50 takes 6 ounces of plastic and 3 ounces of metal. Each D200 requires 2 ounces of plastic and 6 ounces of metal. The factory has 144 ounces of plastic, 252 ounces of metal available, with a maximum of 16 T50 that can be built each week. If each T50 generates $2 in profit, and each D200 generates $16, how many of each of the Blu-ray players should Destiny have the factory make each week to make the most profit?

Darius runs a store that sells fancy chocolates. Each batch ofBlack Hole Dark Truffles takes 12 ounces of cocoa and 6 ounces of cream. Each batch ofMint Cream Breezes requires 54 ounces of cocoa, and 2 ounces of cream. The store needs to immediately use 972 ounces of cocoa and 336 ounces of cream. If each batch ofBlack Hole Dark Truffles costs $15 in expenses, and each batch ofMint Cream Breezes costs $16, we want to know how many of each of the fancy chocolates Darius should have the store make to have the least expenses.Which of the following are the constraint(s) in this situation? A. 12c+6c≥97212c+6c≥972 B. B≥15B≥15 C. E=15B+16ME=15B+16M D. M≥16M≥16 E. 54c+2c≥33654c+2c≥336 F. 15B+16M≥3115B+16M≥31 G. 12B+54M≥97212B+54M≥972 H. 6B+2M≥336

a theatre has 800 seats, divided into orchestra, main and balcony. Orchestra seats sell for $40, main fo $30 and balcony for $2.  If all the seats are sold revenue to the hteatre s $23,200.  If all the main and balcony seats are sold but only half the orchestra seats are sold, the gross revenue os $20,000.  How many are there of each kind of seat?

A robot manufacturer must produce a total of 1260 robots in one week, including both “building robots”and “destroying robots.” The number of building robots needs to be 3.5 times the number of destroyingrobots. How many of each should they make?