The cost Ċ (in dollars) of supplying bins of the to p./. a rural township is recycling population in given by : C= 25,000P 100-P o≤p<100 ● 90% of the Find the costs of supplying bins to 30%, 50% and population. (Round your answers. nearest dollar) to the Cost to supply 30%. C = $. cost to 50% supply C = $₁ Cast to supply 90% C = 8 ♥

1. How many solutions does the following 3 × 3 system have? x₁ + 2x₂ + x3 = 8 2x1 + 2x2 + 2x3 = 4 3x₁ + x2 + x3 = 6.

Let's create a mathematical model for the following problem: A chemical company produces a chemical mixture for a customer in 1,000-pound batches. The mixture contains three components: mercury, zinc, and potassium. The mixture must meet specific formula specifications provided by the customer. The company wants to determine the amount of mixture that can meet all requirements and minimize the total cost. The customer provides formula specifications for each batch of the mixture as follows: The mixture must contain at least 200 pounds of mercury. The mixture must contain at least 300 pounds of zinc. The mixture must contain at least 100 pounds of potassium. The cost per pound for mercury is $4, for zinc is $8, and for potassium is $9.

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