of (x²+C) = 2x te Z x *TUS OP 4. (4 pts) Keans Corporation finds that the rate at which a seller's quantity supplied changes with respect to price is given by the marginal-supply function S'(x) = 0.24x² + 4x+10, where x is the price per unit, in dollars. Find the supply function if it is known that the seller will sell 121 units of the product when the price is $5 per unit. 5. (4 pts) Redline Roasting has found that its marginal cost, in dollars per pound, is C'(x)=-0.007x+12, for x < 350, where x is the number of pounds of coffee roasted. Find the total cost of roasting 200 lb of coffee. Disregard any fixed costs. X= 200 12 Y= 12 C'(o)=12 C'(200)= 6 u и 2 100 20 29 30 350 X 200 S (-0.0078 +12) dx = [-0.0072 + 12x]. + 12 (200)] - [o-o = 2260 =[-0.007 (2001 2 2 -13 f(x)= 4 x Nil X- f (x) = 4 by 4 f(x) = 8 x ² + , 250 -5= 8 (152 + c -0.02x+16) dx 1.8! 02 X 2 + 16x ] 10/250) (4 pts) Hatts and Company determines that its marginal cost, in dollars per h -0.02x +16 for x < 400. of producing the first 250 hats. Disregard fixed costs. of (x²+C) = 2x te Z x *TUS OP 4. (4 pts) Keans Corporation finds that the rate at which a seller's quantity supplied changes with respect to price is given by the marginal-supply function S'(x) = 0.24x² + 4x+10, where x is the price per unit, in dollars. Find the supply function if it is known that the seller will sell 121 units of the product when the price is $5 per unit. 5. (4 pts) Redline Roasting has found that its marginal cost, in dollars per pound, is C'(x)=-0.007x+12, for x < 350, where x is the number of pounds of coffee roasted. Find the total cost of roasting 200 lb of coffee. Disregard any fixed costs. X= 200 12 Y= 12 C'(o)=12 C'(200)= 6 u и 2 100 20 29 30 350 X 200 S (-0.0078 +12) dx = [-0.0072 + 12x]. + 12 (200)] - [o-o = 2260 =[-0.007 (2001 2 2 -13 f(x)= 4 x Nil X- f (x) = 4 by 4 f(x) = 8 x ² + , 250 -5= 8 (152 + c -0.02x+16) dx 1.8! 02 X 2 + 16x ] 10/250) (4 pts) Hatts and Company determines that its marginal cost, in dollars per h -0.02x +16 for x < 400. of producing the first 250 hats. Disregard fixed costs. of (x²+C) = 2x te Z x *TUS OP 4. (4 pts) Keans Corporation finds that the rate at which a seller's quantity supplied changes with respect to price is given by the marginal-supply function S'(x) = 0.24x² + 4x+10, where x is the price per unit, in dollars. Find the supply function if it is known that the seller will sell 121 units of the product when the price is $5 per unit. 5. (4 pts) Redline Roasting has found that its marginal cost, in dollars per pound, is C'(x)=-0.007x+12, for x < 350, where x is the number of pounds of coffee roasted. Find the total cost of roasting 200 lb of coffee. Disregard any fixed costs. X= 200 12 Y= 12 C'(o)=12 C'(200)= 6 u и 2 100 20 29 30 350 X 200 S (-0.0078 +12) dx = [-0.0072 + 12x]. + 12 (200)] - [o-o = 2260 =[-0.007 (2001 2 2 -13 f(x)= 4 x Nil X- f (x) = 4 by 4 f(x) = 8 x ² + , 250 -5= 8 (152 + c -0.02x+16) dx 1.8! 02 X 2 + 16x ] 10/250) (4 pts) Hatts and Company determines that its marginal cost, in dollars per h -0.02x +16 for x < 400. of producing the first 250 hats. Disregard fixed costs.
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