Solve. 79) Find the equilibrium point for the given supply and demand functions. Here y represents price and x represents quantity. y = 4200 100x (demand) y = 110x A) 10, $3200 79) (supply) B) 10, $2200 C) 38, $400 D) 20, $2200 80) Find the equilibrium point for the given supply and demand functions. Here y represents price and x represents quantity. y = 402 - 2x y = 3x - 473 A) 52, $175 80 (demand) (supply) B) 175, $52 C) -473, $402 D) 400, $476 81) Regrind, Inc. regrinds used typewriter platens. The variable cost per platen is $1.70. The total cost to regrind 110 platens is $600. Find the linear cost function to regrind platens. If reground platens sell for $8.60 each, how many must be reground and sold to break even? A) C(x) = 1.70x + 600; 59 platens C) C(x) = 1.70x + 600; 87 platens B) C(x) = 1.70x + 413; 60 platens D) C(x) = 1.70x + 413; 40 platens Ive the problem. 82) A toilet manufacturer has decided to come out with a new and improved toilet. The fixed cost for the production of this new toilet line is $16,600 and the variable costs are $62 per toilet. The company expects to sell the toilets for $157. Formulate a function C(x) for the total cost of producing x new toilets and a function R(x) for the total revenue generated from the sales of x toilets. A) C(x) = 62x; R(x) = 157x C) C(x) = 16600 + 62x; R(x) = 157x B) C(x) = 16600 + 157x; R(x) = 62x D) C(x) = 16,662; R(x) = 157 %3D %3D

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.