Question
TechOne is a start-up biotechnology firm specializing in non-toxic fertilizer for organic farming. Scientists at one of TechOne's subsidiaries, GrowMore recently developed a new fertilizer,
TechOne is a start-up biotechnology firm specializing in non-toxic fertilizer for organic farming. Scientists at one of TechOne's subsidiaries, GrowMore recently developed a new fertilizer, 244 to Increase the growth rate of crops. In addition to producing this new fertilizer, GrowMore produces another fertilizer, 377, for external sale.
Per kilogram (kg) data on the selling price, variable costs, machine hours necessary for production are given below. Note that there are no fixed manufacturing or selling costs.
244 | 377 | |
Selling price | 30.00 | 14.00 |
Variable Manufacturing Cost | 6.00 | 5.00 |
Variable Selling Cost | 3.50 | 2.00 |
Machine Hours | 2.0 | 0.5 |
External Monthly Market Demand (in kgs) | 5,000 | 10,000 |
Interpret the data on External Monthly Market Demand as follows: GrowMore can sell up to 5,000 kgs of 244 and 10,000 kgs of 377 at their respective market prices but cannot sell even one kilogram over these amounts, even at a lower price. If GrowMore chooses to sell fewer kilograms (of either product), it cannot charge a higher price.
GrowMore has 16,500 machine hours of capacity available every month.
Another division of TechOne, Florish has an opportunity to process 244 further into a consumer product that would enhance growth even more. Florish would incur additional variable manufacturing costs of 7 per kilogram in reducing the potency of the fertilizer and packaging it for home use. An outside distributor has offered Florish 30/kg for up to 7,000 kgs of the modified 244 per month as long as it provided in 1,000 kg increments.
GrowMore does not incur any variable selling costs for internal transfers.
All divisions are only evaluated as profit centers.
Question 1
5 pts
Under the status quo (i.e., without any modified 244 production/sales), how many kilograms of 244 will GrowMore choose to make and sell each month in order to maximize its divisional profits? Enter your answer as just a number with no currency symbols or per kg notation.
Question 2
5 pts
Under the staus quo (i.e., without any modified 244 production/sales), how many kilograms of 377 will GrowMore make and sell each month in order to maximize its divisional profits? Enter your answer as just a number with no currency symbols or per kg notation.
Question 3
5 pts
At the status quo level of monthly production and sales for 244 and 377 you calculated above, what are total firm-wide profits each month.
Question 4
10 pts
What is the optimal transfer price per kg for GrowMore to charge Florish for the new fertilizer, 244, for any quantity between 0 to 750 kgs? That is, figure out the optimal TP per kg for any quantity of internal transfers of 244 between 0 and 750 kgs. Enter your answer as just a number with no currency symbols or per kg notation.
Question 5
20 pts
What is the optimal transfer price per kg for GrowMore to charge Florish for the new fertilizer, 244, for any quantity between 751 to 5,750 kgs? That is, figure out the optimal TP per kg for any quantity of internal transfers between 751 and 5,750 kgs. Enter your answer as just a number with no currency symbols or per kg notation.
Question 6
20 pts
What is the optimal transfer price per kg for GrowMore to charge Florish for the new fertilizer, 244, for any quantity between 5,751 to 8,250 kgs? That is, figure out the optimal TP per kg for any quantity of internal transfers between 5,751 and 8,250 kgs. Enter your answer as just a number with no currency symbols or per kg notation.
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