88495 If \(\frac{2 x+3}{5}\lt \frac{4 x-1}{2}\), then \(x\) lies in the interval

88496 The cost and revenue functions of a product are given by \(c(x)=20 x+4000\) and \(R(x)=60 x+\) 2000 respectively where \(x\) is the number of items produced and sold. The value of \(x\) to earn profit is

88497 The maximum value of \(P=6 x+8 y\), if \(\mathbf{2 x}+\mathbf{y} \leq \mathbf{3 0}, \mathrm{x}+\mathbf{2 y} \leq \mathbf{2 4 ;} \mathbf{x} \geq \mathbf{0}, y \geq \mathbf{0}\), will be

88498 If the total cost \(C(x)\) in rupees associated with the production of \(x\) units of an item is given by \(C(x)=3 x^{3}-2 x^{2}+x+100\). Then, the marginal change in cost, when \(x=5\), is

88495 If \(\frac{2 x+3}{5}\lt \frac{4 x-1}{2}\), then \(x\) lies in the interval

88496 The cost and revenue functions of a product are given by \(c(x)=20 x+4000\) and \(R(x)=60 x+\) 2000 respectively where \(x\) is the number of items produced and sold. The value of \(x\) to earn profit is

88497 The maximum value of \(P=6 x+8 y\), if \(\mathbf{2 x}+\mathbf{y} \leq \mathbf{3 0}, \mathrm{x}+\mathbf{2 y} \leq \mathbf{2 4 ;} \mathbf{x} \geq \mathbf{0}, y \geq \mathbf{0}\), will be

88498 If the total cost \(C(x)\) in rupees associated with the production of \(x\) units of an item is given by \(C(x)=3 x^{3}-2 x^{2}+x+100\). Then, the marginal change in cost, when \(x=5\), is

88495 If \(\frac{2 x+3}{5}\lt \frac{4 x-1}{2}\), then \(x\) lies in the interval

88496 The cost and revenue functions of a product are given by \(c(x)=20 x+4000\) and \(R(x)=60 x+\) 2000 respectively where \(x\) is the number of items produced and sold. The value of \(x\) to earn profit is

88497 The maximum value of \(P=6 x+8 y\), if \(\mathbf{2 x}+\mathbf{y} \leq \mathbf{3 0}, \mathrm{x}+\mathbf{2 y} \leq \mathbf{2 4 ;} \mathbf{x} \geq \mathbf{0}, y \geq \mathbf{0}\), will be

88498 If the total cost \(C(x)\) in rupees associated with the production of \(x\) units of an item is given by \(C(x)=3 x^{3}-2 x^{2}+x+100\). Then, the marginal change in cost, when \(x=5\), is

88495 If \(\frac{2 x+3}{5}\lt \frac{4 x-1}{2}\), then \(x\) lies in the interval

88496 The cost and revenue functions of a product are given by \(c(x)=20 x+4000\) and \(R(x)=60 x+\) 2000 respectively where \(x\) is the number of items produced and sold. The value of \(x\) to earn profit is

88497 The maximum value of \(P=6 x+8 y\), if \(\mathbf{2 x}+\mathbf{y} \leq \mathbf{3 0}, \mathrm{x}+\mathbf{2 y} \leq \mathbf{2 4 ;} \mathbf{x} \geq \mathbf{0}, y \geq \mathbf{0}\), will be

88498 If the total cost \(C(x)\) in rupees associated with the production of \(x\) units of an item is given by \(C(x)=3 x^{3}-2 x^{2}+x+100\). Then, the marginal change in cost, when \(x=5\), is